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MATH 534 WEEK 2 HOMEWORK
If the occurrence or non occurrence of one event does not affect the occurrence or non occurrence of another event, the two events are . mutually exclusive independent non interacting complementary collectively exhaustive In any statistical experiment if the occurrence of one event precludes the occurrence of the other events, the events of the experiment are called. intersecting events complimentary events mutually exclusive events independent events In the experiment of a single roll of a 6-faced die, if the outcome “3 shows up” is called event A and the outcome “4 shows up” is called event B, then A and B are. complementary events independent events collectively exhaustive events mutually exclusive events Fifty percent of all technical assistants would like to have a PC. Eighty percent of all technical assistants would like to have MAC. Fourty-five percent of all technical assistants would like to have both. If a technical assistant is randomly
selected, what is the probability that she would like to have a PC or a MAC?
Gender ICU Surgical Unit Female 10 7 Male 12 19 Given this person is a female, what is the probability that she is from ICU? 10/ 12/ 10/ 10/ Consider the following 3 x 4 contingency table in which a sample of 1400 companies is summarized in terms of the company’s industry type (X, Y, or Z) and geographic location (A, B, C, or D). What is the probability P(B│Y)? 0.
There is a 30% chance that the economy will be good next year and a 70% chance that it will be bad. If the economy is good, there is a 60% A B C D X Y Z 124 110 108 114 130 106 122 112 128 118 112 116
. a continuous random variable a fixed variable a sample random variable
a discrete random variable Consider the following discrete random distribution. x P(x)
What is the mean of the distribution? 2.
Joe throws a die 4 times, what is the probability of him getting a number 1 at most once?
What is the mean of a binomial distribution in which the number of trials n = 100 and the probability of success p = 0.5?
A dealer in a casino has rolled a 6 on a single die four times in a row. What is the probability of his rolling another 6 on the next roll, assuming it is a fair die?
The expected number of defectives in samples of 200 units taken periodically from the output of a machine that has a 0.5% defective rate is. 1
10 3 One fair coin is tossed 10 times, what is the probability of getting exactly 3 heads out of 10 tossing experiments?
Use Table A.2, Appendix A, to find the values of the following binomial distribution problems. (Round your answers to 3 decimal places.) a. P ( x = 15 | n = 20 and p = 0.60) = 0. b. P ( x < 5 | n = 10 and p = 0.50) = 0. c. P ( x ≥ 12 | n = 15 and p = 0.80) = 0. d. P ( x > 20 | n = 25 and p = 0.20) = 0.
According to the American Medical Association, about 36% of all U.S. physicians under the age of 35 are women. Your company has just hired eight physicians under the age of 35 and none is a woman. If a group of women physicians under the age of 35 want to sue your company for discriminatory hiring practices, would they have a strong case based on these numbers? Use the binomial distribution to determine the probability of the company’s hiring result occurring randomly, and comment on the potential justification for a lawsuit. (Round your answer to 4 decimal places.) Probability of hiring result occuring randomly: 0.
