Download MATH 225N WEEK 3 LAB ASSIGNMENT COMPREHENSIVE STUDY GUIDE 2026 and more Exams Mathematical Modeling and Simulation in PDF only on Docsity!
MATH 225N WEEK 3 LAB ASSIGNMENT
COMPREHENSIVE STUDY GUIDE 2026
◉ A coin is flipped 30 times. What is the probability of getting exactly 15 heads? Round answer to 4 decimal places. Answer: Answer: 0. ◉ Question 3 options: A coin is flipped 30 times. What is the probability of getting 15 or more heads? Round answer to 4 decimal places. Answer: Answer:
◉ Question 4 options: If random variable X has a binomial distribution with n=9 and P(success) =p= 0.4, find the standard deviation of X. (round to 4 decimal places) Answer: Answer: 1. ◉ Question 5 options: Suppose a random variable, x, arises from a binomial experiment. If n = 25, and p = 0.85, find the variance. Round answer to 4 decimal places. Answer: Answer: 3.
◉ The table of data obtained from WWW.BASEBALL-ALMANAC.COM shows hit information for four well known baseball players. Suppose that one hit from the table is randomly selected. NAME Single Double Triple Home Run TOTAL HITS Babe Ruth 1, 506 136 714 2, Jackie Robinson 1, 273 54 137 1, Ty Cobb
◉ In a box there are 4 red cards and 7 blue cards. The cards are well- shuffled. If you pick a card without looking at the box, what is the probability that you pick a blue card? (round to 3 decimal places) Answer: Answer: 0. ◉ Question 8 options: You have a club of fifteen people. You need to pick a president, treasurer, and secretary from the fifteen. How many different ways can you do this? Leave answer as whole number, do not include decimals or commas. Answer: Answer: 2730 ◉ Question 9 options: Find the probability of rolling a sum of two dice that is more than 7. Round answer to 4 decimal places. Answer: Answer: 0. ◉ True or False: The following table represents a valid discrete probability distribution. x 1 2 3 4 5
P(X=x)
0.01 Answer: False ◉ Question 11 options: Let X be the number of courses taken by a part-time student at a college. The following table shows the probability distribution of X with probability as a percentage. Number of Courses , x 1 2 3 Probability, P(X=x) 52% 28% 20% What is the probability that a randomly selected part-time student at this college takes at least 2 courses? (That is, find P(X ≥ 2) Answer: Answer: 0.
Probability, P(X=x) 48% 28% 24% What is the probability that a randomly selected part-time student at this college takes at more than 2 courses? (That is, find P(X > 2) Answer: Answer: 0. ◉ A bank gets an average of 12 customers per hour. Assume the variable follows a Poisson distribution. Find the probability that there will be 4 or more customers at this bank in one hour. (That is, find P(X≥4)) (round to 4 decimal places) Answer: Answer: 0. ◉ Question 15 options: A bank gets an average of 8.5 customers per hour. Assume the variable follows a Poisson distribution. Find the probability that there will be 4 or more customers at this bank in one hour. (That is, find P(X≥4)) (round to 4 decimal places) Answer: Answer: 0. ◉ Question 16 options:
If random variable X has a Poisson distribution with mean = 10, find the probability that X is at least 2. (That is, find P(X ≥ 2) (round to 4 decimal places) Answer: 0. ◉ Question 17 options: Suppose a random variable, x, follows a Poisson distribution. Let μ = 3 every day, find the P(X ≤ 12) over a week. Round answer to 4 decimal places. Answer: Answer: 0. ◉ Suppose a random variable, x, follows a Poisson distribution. Let μ = 2.5 every minute, find the P(X ≥ 125) over an hour. Round answer to 4 decimal places. Answer: Answer: 0. ◉ In a recent study, the following data were obtained in response to the question, "Do you favor recycling in your neighborhood?" Yes No No Opinion Males 25 15 10
