Assume a procedure yields a binomial distribution with 440trials and a probabili

Question

Assume a procedure yields a binomial distribution with 440trials and a probability of success for any one trial of0.25. a)What is the mean of the distirbution? b)What is the standard deviation? (nearest tenth) c) based on rounded standard deviation what is the minimumsuccess? d) maximum success? Assume a procedure yields a binomial distribution with 440trials and a probability of success for any one trial of0.25. a)What is the mean of the distirbution? b)What is the standard deviation? (nearest tenth) c) based on rounded standard deviation what is the minimumsuccess? d) maximum success?

Explanation / Answer

a) X follows binomial distribution with n=440 and p = 0.25 E(X) = np = 440(0.25) = 110 b) Var(X) = np(1-p) = 440(0.25)(0.75) = 82.5

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