In a clinical study of a new drug formulated to reduce the effects of rheumatoid
Chapter 5, Problem 5.154(choose chapter or problem)
In a clinical study of a new drug formulated to reduce the effects of rheumatoid arthritis, researchers found that the proportion p of patients who respond favorably to the drug is a random variable that varies from batch to batch of the drug. Assume that p has a probability density function given by f (p) = 12p2(1 p), 0 p 1, 0, elsewhere. Suppose that n patients are injected with portions of the drug taken from the same batch. Let Y denote the number showing a favorable response. Find a the unconditional probability distribution of Y for general n. b E(Y ) for n = 2.
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