(12 points) Five males with a particular genetic disorder have one child each. T
ID: 3359677 • Letter: #
Question
(12 points) Five males with a particular genetic disorder have one child each. The random variable z is the number of children among the five who inherit the genetic disorder Determine whether the table describes a probability distribution (2 points). If it does, find the mean (4 points) and standard deviation (6 points). Write your response on the next page 6, (17 points) In a clinical trial of a cholesterol drug, 447 subjects were given a placebo, and 11% of them developed headaches. We define developing a headache as the "success" (a) (1 point) Let random variable r be the number of subjects who develop headaches. Does random variable yield a binomial distribution? If not, which requirements are violated? (b) (4 points) For such randomly selected groups of 447 subjects given a placebo, identify the values of n (the total number of trials) and p (the probability of success) that would be used for finding the mean and standard deviation for the number of subjects who develop headaches. (c) (4 points) Find the mean and the standard deviation .Explanation / Answer
5)
Yes it does describe the probability distribution of a discrete random variable. Mean and SD calculated as follows: -
x P(x) x*P(x) E(X-E(X))^2 0 0.2887 0 0.349263489 1 0.4072 0.4072 0.00406386 2 0.2297 0.4594 0.186098348 3 0.0648 0.1944 0.233952625 4 0.0091 0.0364 0.076536278 5 0.0005 0.0025 0.00760539 Mean Variance 1.0999 0.85751999 SD 0.926023752Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.