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MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023

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Download MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guar and more Exams Nursing in PDF only on Docsity! MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 1. Which of the pairs of events below is dependent? Select the correct answer below: drawing a 7 and then drawing another 7 with replacement from a standard deck of cards rolling a 1 and then rolling a 6 with a standard die rolling a 3 and then rolling a 4 with a standard die drawing a heart and then drawing a spade without replacement from a standard deck of cards 2. Identify the option below that represents dependent events. Select the correct answer below: drawing a face card and then drawing a 3 without replacement from a standard deck of cards rolling a sum of 6 from the first two rolls of a standard die and a sum of 4 from the second two rolls drawing a 2 and drawing a 4 with replacement from a standard deck of cards drawing a heart and drawing another heart with replacement from a standard deck of cards MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 3. Which of the following shows mutually exclusive events? Select the correct answer below: rolling a sum of 9 from two rolls of a standard die and rolling 2 for the first roll drawing a red card and then drawing a black card with replacement from a standard deck of cards drawing a jack and then drawing a 7 without replacement from a standard deck of cards drawing a 7 and then drawing another 7 with replacement from a standard deck of cards 4. Which of the pairs of events below is mutually exclusive? Select the correct answer below: drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards drawing a 2 and drawing a 4 with replacement from a standard deck of cards drawing a heart and then drawing a spade without replacement from a standard deck of cards drawing a jack and then drawing a 7 without replacement from a standard deck of cards MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 9. An art collector wants to purchase a new piece of art. She is interested in 5 paintings, 6 vases, and 2 statues. If she chooses the piece at random, what is the probability that she selects a painting? • Give your answer as a fraction. Provide your answer below: 5/13 10. Boris is taking a quiz for an online class. For the quiz, the system randomly assigns 2 high- difficulty questions, 7 moderate-difficulty questions, and 6 low-difficulty questions. What is the probability that Boris is assigned a moderate-difficulty question first? • Give your answer as a fraction. Provide your answer below: 7/15 11. A spinner contains the numbers 1 through 40. What is the probability that the spinner will land on a number that is not a multiple of 6? Give your MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 answer as a fraction. Provide your answer below: 34/40 12. A spinner contains the numbers 1 through 50. What is the probability that the spinner will land on a number that is not a multiple of 4? Provide your answer below: 38/50 13. Identify the parameters p and n in the following binomial distribution scenario. The probability of winning an arcade game is 0.718 and the probability of losing is 0.282. If you play the arcade game 20 times, we want to know the probability of winning more than 15 times. (Consider winning as a success in the binomial distribution.) p=0.282, n=20 p=0.718, n=15 p=0.718, n=20 p=0.282, MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 n=15 (The parameters p and n represent the probability of success on any given trial and the total number of trials, respectively. In this case, success is winning a game, so p=0.718. The total number of trials, or games, is n=20) 14. A weighted coin has a 0.55 probability of landing on heads. If you toss the coin 14 times, what is the probability of getting heads exactly 9 times? (Round your answer to 3 decimal places if necessary.) MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 8 12 20 32 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 18. Give the numerical value of the parameter p in the following binomial distribution scenario. A softball pitcher has a 0.675 probability of throwing a strike for each pitch and a 0.325 probability of throwing a ball. If the softball pitcher throws 29 pitches, we want to know the probability that exactly 19 of them are strikes. Consider strikes as successes in the binomial distribution. Do not include p= in your answer. Provide your answer below: 0.675 (The parameters p and n represent the probability of success on any given trial and the total number of trials, respectively. In this case, success is a strike, so p=0.675) 19. Identify the parameters p and n in the following binomial distribution scenario. Jack, a bowler, has a 0.38 probability of throwing a strike and a 0.62 probability of not throwing a strike. Jack bowls 20times (Consider that throwing a strike is a MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 success.) Select the correct answer below: p=0.38,n=0.62 p=0.38,n=10 p=0.38,n=20 p=0.62,n=10 p=0.62,n=20 (In a binomial distribution, there are only two possible outcomes. p denotes the probability of the event or trial resulting in a success. In this scenario, it would be the probability of Jack bowling a strike, which is 0.38. The total number of repeated and identical events or trials is denoted by n. In this scenario, Jack bowls a total of 20 times, so n=20). 20. The Stomping Elephants volleyball team plays 30 matches in a week- MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 The standard deviation of a binomial distribution is the square root of the variance. The variance is the product of n, the total number of repeated trials or events, p, the probability of a success, and q, which is (1−p). variance = σ2=np(1−p) standard deviation = variance−−−−−−−√ In this scenario, the number of trials is 30 (the total number of matches played), which is n. The probability of a success (winning a match) is 46. So, the value for (1−p) is 26. The variance is the product of these values. variance = σ2=(30) (46)(26) So the variance is approximately 6.67, and the standard deviation is the square root of that, 6.67−−−−√ MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 22.Identify the parameter n in the following binomial distribution scenario. A weighted coin has a 0.441 probability of landing on heads and a 0.559 probability of landing on tails. If you toss the coin 19 times, we want to know the probability of getting heads more than 5 times. (Consider a toss of heads as success in the binomial distribution.) Select the correct answer below: 5 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 14 19 24 23. Give the numerical value of the parameter n, the number of trials, in the following binomial distribution scenario. A weighted coin has a 0.486 probability of landing on heads and a 0.514 probability of landing on tails. If you toss the coin 27 times, we want to know the probability of getting heads exactly 11 times. Consider a toss of heads as success in the binomial distribution. Provide your answer below: 27 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 Provide your answer below: .951 27. A softball pitcher has a 0.507 probability of throwing a strike for each pitch. If the softball pitcher throws 15 pitches, what is the probability that more than 8 of them are strikes? (Round your answer to 3 decimal places if necessary.) Provide your answer below: .323 28. A 2014 study by researchers at the University College Antwerp and the University of Leuven showed that e-cigarettes are effective at reducing cigarette craving. Participants were separated into two groups. One group was given e-cigarettes and the other was told to not smoke e-cigarettes. Two months later, researchers observed how many participants had stopped smoking cigarettes. The following table shows approximate numbers. According to the table, what is the probability that a randomly chosen participant did not stop smoking, given that the participant received an e-cigarette? MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 Participants stoppedsmoking did not stopsmoking Total given e-cigarette 11 21 32 not given e-cigarette 0 16 16 Total 11 37 48 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 Select the correct answer below: 21/48 11/48 11/32 16/16 0/16 21/32 29.Researchers wanted to study if having a long beak is related to flight in birds. They surveyed a total of 34 birds. The data are shown in the contingency table below. What is MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 the relative risk of flying for those birds that have long beaks? Round your answer to two decimal places. MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 • Marginal distributions are the row and column percentages. Breakfast and lunch are in the rows, so use the row totals to determine the percentages. The "Breakfast" percentage is 311/994≈0.31, and the "Lunch" percentage is 683/994≈0.69. The marginal distribution is 31%, 69%. 31. 155 fitness center members were asked if they run and if they lift weights. The results are shown in the table below. Does not Run Runs Total Does not Lift Weights 30 68 98 Lifts Weights 16 41 57 Total 46 109 155 Given that a randomly selected survey participant does not run, what is the probability that the participant lifts weights? • Enter the answer as a fraction. MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 Provide your answer below: 16/46 = 8/23 32. Fill in the following contingency table and find the number of students who both have a cat AND have a dog. Provide your answer below: 35 33. Researchers wanted to study if having a long beak is related to flight in birds. They surveyed a total of 34 birds. The data are shown in the contingency table below. What is MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 Students Have a dog Do not have a dog Total Have a cat 35 25 60 Do not have a cat 27 11 38 Total 62 36 98 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 Provide your answer below: 16 35.Researchers wanted to study if couples having children are married. They surveyed a large group of people. The data are shown in the contingency table below. What is the odds ratio for married people having children against unmarried people having children? Round your answer to two decimal places. Children No Children Total Married 97 35 132 Not Married 68 71 139 Total 165 106 271 The odds that a married couple has children are 97 to 35. The odds that an unmarried couple has children are 68 to 71. The odds ratio is then 97/35 ÷ 68/71 ≈ 2.89. In this study, people who are married had about 3 times the odds of having children as people who MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 are not married. 36.Doctors are testing a new antidepressant. A group of patients, all with similar characteristics, take part in the study. Some of the patients receive the new drug, while others receive the MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 traditional drug. During the study, a number of patients complain about insomnia. The data are shown in the contingency table below. What is the relative risk of insomnia for those who receive the new drug? Round to two decimal places. Insomni a No Insomnia Total New Drug 52 226 278 Traditional Drug 36 295 331 Total 88 521 609 Answer: 1.72 (The probability that a patient who receives the new drug develops insomnia is 52/278=26/139. The probability that a patient who receives the traditional drug develops insomnia is 36/331. The relative risk is then 26/139 ÷ 36/331≈1.72. This means that in this study, people who took the new drug were 172% more likely to develop insomnia) MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 5.51; The advertisement was successful. 2.35; The advertisement was successful. 1.79; The advertisement was successful. 0.56; The advertisement was not successful. 0.43; The advertisement was not successful. 0.18; The advertisement was not successful. (The odds that a student targeted by the advertisement registers to vote is 103 to 36. The odds that a student not targeted by the advertisement registers to vote is 78 to 64, or 39 to 32. The odds ratio is then 103/36 ÷ 39/32≈2.35. In this situation, students targeted by the advertisement had more than twice the odds of registering to vote as students not targeted by the advertisement. It would appear that the advertisement was successful) 38. Researchers wanted to study if wearing cotton clothes is related to depression. They surveyed a large group of people. The data are shown in the contingency table below. What is the relative risk of wearing cotton MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 clothes for those who are depressed? Round your answer to two decimal places. Depressed Not Depressed Total Cotton 122 189 311 Not Cotton 420 263 683 Total 542 452 994 Answer: .54 (The probability that someone who is depressed wears cotton clothes is 122542. The probability that someone who is not depressed wears cotton clothes is 189452. The relative risk is then 122542189452≈0.54. This means that in this survey, depressed people were 54% as likely to wear cotton clothes as people who are not depressed) 39.Researchers want to study whether or not a fear of flying is related to a fear of heights. They surveyed a large group of people and asked them whether or not they had a fear of flying and whether or not they had a fear of heights. The data are shown in the contingency table below. What is the MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 relative risk of being afraid of flying for those who are afraid of heights? Round your answer to two decimal places. Afraid of heights Not afraid of heights Total Afraid of flying 76 33 109 Not afraid of flying 82 370 452 Total 158 404 561 Provide your answer below: 5.87 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 Support bill 5 30 20 55 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 Do not support bill 20 3 10 33 Total 25 33 30 88 Give your answer as a fraction. 10/33 42.Fill in the following contingency table and find the number of students who both do not go to the beach AND do not go to the mountains. MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 Students Go to the mountai ns do not go to the mountains Tot a l Go to the beach 32 22 54 Do not go to the beach 17 10 27 Total 49 32 81 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 Provide your answer below: 10 43.Fill in the following contingency table and find the number of students who both have a cat AND have a dog. Provide your answer below: 14 44.Researchers wanted to study if couples having children are married. They surveyed a large group of people. The data are shown in the contingency MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 Students Have a dog Do not have a dog Total Have a cat 14 35 49 Do not have a cat 32 17 49 Total 46 52 98 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 depression. They surveyed a large group of people. The data are shown in the contingency table below. What is the odds ratio for people wearing cotton clothes being depressed against people not wearing cotton clothes being depressed? Round your answer to two decimal places. Depressed Not Depressed Total Cotton 122 189 311 Not Cotton 420 263 683 Total 542 452 994 Provide your answer below: 0.40 (The odds that a person who wears cotton clothes is also depressed are 122 to 189. The odds that a person who does not wear cotton clothes is depressed are 420 to 263. The odds ratio is then 122/189 ÷ 420/263≈0.40. In this study, people who wear cotton clothes had over 0.4 times the odds of also being MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 depressed as people who are not wearing cotton clothes. 46.Review the flu vaccine data below. What is the odds ratio of not catching the flu for those who receive the new vaccine? Caught Did not catch Tota MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 flu flu l New Vaccine 15 375 390 Traditional Vaccine 55 225 280 Total 70 600 670 Answer: 6.11 The odds that a person who receives the new vaccine does not catch the flu is 375 to 15, or 25 to 1. The odds that a person who receives the traditional vaccine does not catch the flu is 225 to 55, or 45 to 11. The odds ratio is then 25/1 ÷ 45/11≈6.11. In this experiment, people who took the new vaccine had just over 6 times the odds of not catching the flu as people who did not take the new vaccine. 47.Doctors are testing a new antidepressant. A group of patients, all with similar characteristics, take part in the study. Some of the patients receive the new drug, while others receive the traditional drug. During the study, a number of patients complain about insomnia. The data are shown in the contingency table below. What is the relative risk of insomnia for those MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 49.Researchers wanted to study if couples having children are married. They surveyed a large group of people. The data are shown in the contingency table below. What is the relative risk of being married for those who have children? Round your answer to two decimal places. Children No Children Total Married 97 35 132 Not Married 68 71 139 Total 165 106 271 Answer: 1.78 (he probability that someone who has children is married is 97/165. The probability that someone who does not have children is married is 35/106. The MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 relative risk is then 97/165 ÷ 35/106≈1.78. This means that in this survey, people who have children were 178%as likely to be married as people who do not have children. MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 50.Kelsey, a basketball player, hits 3-point shots on 38.1% of her attempts. If she takes 14 attempts at 3-point shots in a game, what is the probability that she hits exactly six of them? Use Excel to find the probability. • Round your answer to three decimal places. Provide your answer below: 0.198 51. A computer graphics card manufacturer is testing an improvement to its production process. If a sample of 100 graphics cards manufactured using the new process has a less than 10% chance of having 3 or more defective graphics cards, then the manufacturer will switch to the new process. Otherwise, the manufacturer will stay with its existing process. If the probability of a defective graphics card using the new process is 0.9%, will the manufacturer switch to the new production process? Select the correct answer below: MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 52. In a large city’s recent mayoral election, 126,519 out of 283,143 registered voters actually turned out to vote. If 20 registered voters are randomly selected, find the probability that exactly 8 of them voted in the mayoral election. Use Excel to find the probability. • Round your answer to three decimal places. Provide your answer below: 0.165 P=.446 (126,519/283,143) N=20 X=8 53. Alex wants to test the reliability of “lie detector tests,” or polygraph tests. He performs a polygraph test on a random sample of 12 individuals. If there is more than a 50% chance that the tests result in no false positives (that is, the test does not result in a true statement being recorded as a lie), Alex will conclude that the tests are reliable. If the probability of a lie detector test resulting in a false positive is 5.5%, what will Alex conclude? Use Excel to find the probability, rounding to three decimal places. MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 Select the correct answer below: Alex will conclude that the test is reliable since the probability of no false positives is less than 0.5. Alex will conclude that the test is not reliable since the probability of no false positives is greater than 0.5. Alex will conclude that the test is not reliable since the probability of no false positives is less than 0.5. Alex will conclude that the test is reliable since the probability of no false positives is greater than 0.5. (Next enter the values for the number of successes, the number of trials, the probability of a success, and the number of successes. In this case, enter 0, 12, and 0.055, in that order. Enter 0 for Cumulative since this is not a cumulative probability) 54. A certain cold remedy has an 88% rate of success of reducing symptoms within 24 hours. Find the probability that in a random sample of 45 people who took the remedy, 40 of them had a reduction of symptoms within a day. • Round your answer to three decimal places. 0.183 55. Kevin works for a company that manufactures solar panels. In a large batch of solar panels, about 1 in 200 is defective. Suppose that Kevin selects a MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 random sample of six solar panels from this batch. What is the probability that none of the solar panels are defective? Use Excel to find the probability. • Round your answer to three decimal places. 0.970 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 60. A health survey determined the mean weight of a sample of 762 men between the ages of 26 and 31 to be 173 pounds, while the mean weight of a sample of 1,561 men between the ages of 67 and 72 was 162 pounds. The difference between the mean MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 weights is significant at the 0.05 level. Determine the meaning of this significance level. Select the correct answer below: We expect that the mean weight of any sample of 762 men between the ages of 26 and 31 is 173 pounds. It is not unusual to see the mean weight of 1,561 men between the ages of 67 and 72 to be 162 pounds because the weight of men varies. The results are statistically significant at the 0.01 level. At the 0.05 level of significance, the age of men has an association with their mean weight. (when a difference is significant at the 0.05 level, it means that we are confident in concluding that this difference is not due to chance. If it is not due to chance, it must be due to the age of the men, because age is the differentiator between the two groups. Thus the answer is, At the 0.05 level of significance, the age of men has an association with their mean weight) 61.The mean body temperature of a human is accepted to be 98.6∘F. In a study, the body temperatures of 127 individuals were measured. The mean body temperature of the individuals was calculated to be 99.0∘F. Assuming the regular body temperature of humans is actually 98.6∘F, the MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 probability of these results occurring by chance is less than 0.01. Interpret the results of the calculation. Select the correct answer below: We can expect that the mean body temperature of any 127 individuals is 99.0∘F. The mean body temperature of humans is not 98.6∘F. At the 0.01 level of significance, the mean body temperature of humans is not 98.6∘F. Since human body temperature varies, the results of this study are not unusual. (The results of the survey are significant at the 0.01 level. This means that the probability of the data being the result of chance is 0.01 or less. Because of this, we can be fairly confident, but not certain, that the mean body temperature of humans is not 98.6∘F) 62.Which of the following events seem like they would be unlikely to occur by chance? Select all that apply: MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 We expect the mean score of a group of 30 students who attend a review session to be 86%. At the 0.05 level of significance, attendance of the review session is associated with a higher exam score. The review session is helpful to students at the 0.01 level of significance. 64.According to a recent poll, 40.5% of people aged 25 years or older in the state of Massachusetts have a bachelor’s degree or higher. The poll also reported that 30.0% of people aged 25 years or older in the state of Delaware have a bachelor’s degree or higher. The poll sampled 354 residents of Massachusetts and 210 residents of Delaware. The data was calculated to be significant at the 0.013 level. Determine the meaning of this significance level. Select the correct answer below: At the 0.013 level of significance, a larger percentage of residents from Massachusetts have bachelor’s degrees. It is not unusual to see 30.0% of a sample of 210 residents of Delaware have bachelor’s degrees because level of education varies. It is certain that more residents of Massachusetts have bachelor’s degrees than do residents of Delaware. We can expect about 40.5% of any group of 354 Massachusetts residents to MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 have a bachelor’s degree or higher. 65. A survey was conducted to see whether age has an association with the belief that a master’s degree or higher provides an advantage in one’s career. Of the 524 adults between the ages of 22 and 25 surveyed, 56% believed that a master’s degree has value in a person’s career path. Of the 458 adults surveyed between the ages MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 of 40 and 45, 52% also believed that a master’s degree has value in a person’s career path. Assuming age is not associated with this belief, the probability of the data being the result of chance is calculated to be 0.21. Interpret this calculation. Select the correct answer below: We can expect 56% of all adults between the ages of 22 and 25 to believe a master’s degree or higher provides an advantage in one’s career. The data is statistically significant at the 0.05 level of significance in showing that age has an association with the belief that a master’s degree or higher provides an advantage in one’s career. Age does not have any association with the belief that a master’s degree or higher provides an advantage in one’s career. The data are not statistically significant at the 0.05 level of significance in showing that age has an association with the belief that a master’s degree or higher provides an advantage in one’s career. 66. A farmer claims that the average mass of an apple grown in his orchard is 100g. To test this claim, he measures the mass of 150 apples that are grown in his orchard and determines the average mass per apple to be MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 Dependent 68.Patricia will draw 8 cards from a standard 52-card deck with replacement. Which of the following are not events in this experiment? Select all that apply: drawing 8 hearts drawing 8 cards drawing 1 card drawing 3 kings (Events are any combinations of outcomes or particular results in an experiment. Drawing 8 cards is the experiment and drawing 1 card is a trial of the experiment, neither of which specify a result or outcome) 69.Which of the following gives the definition of event? Select the correct answer below: MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 the set of all possible outcomes of an experiment a subset of the set of all outcomes of an experiment a planned activity carried out under controlled conditions one specific execution of an experiment 70.Which of the following gives the definition of trial? Select the correct answer below: a particular result of an experiment one specific execution of an experiment a planned activity carried out under controlled conditions the set of all possible outcomes of an experiment 71.Beth is performing an experiment to check if a die is fair. She rolls the die 5 times and records the sequence of numbers she gets. Which of these is an outcome of this experiment? Select all correct answers. MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 Select all that apply: Rolling a die Rolling a die five times Rolling the sequence 1,1,2,1,6 Rolling five 4's Rolling the sequence 1,1,2 (An outcome is a specific result of an experiment. So the outcomes of this experiment are all the possible sequences of five die rolls. So in this case, a particular sequence such as 1,1,2,1,6 is an outcome. So is rolling five 4's, because this is a specific outcome (4,4,4,4,4) 72.Which of the following pairs of events are independent? Select all that apply: MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 Event B is getting 3 or more on the die. 73. Is the statement below true or false? Mutually exclusive is the property of events in which none can occur at the same time. Select the correct answer below: Tru e Fals e 74.Trial best fits which of the following descriptions? Select the correct answer below: a particular result of an experiment a subset of the set of all outcomes of an experiment one repetition or instance of an experiment the set of all possible outcomes of an experiment 75.Jacqueline will spin a fair spinner with the numbers 0, 1, 2, 3, and 4 a MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023 total of 3 times. If Event A = spinner lands on numbers all greater than 2 and Event B = total sum of 9, which of the following best describes events A and B? Select the correct answer below: independent dependent mutually exclusive complement MATH 225N MATH Week 4 Probability Questions and answers 100%Correct/Verified Rated A+ Guarantees Success New Update 2022/2023