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9. Let Y be a random variable that follows a beta distribution. f(y) = ( + ) ()() y 1 (1 y) 1 for 0
9. Let Y be a random variable that follows a beta distribution. f(y) = ( + ) ()() y 1 (1 y) 1 for 0 y 1
(a) Suppose = 1 and P(Y < 0.5) = 0.25. Find .
(b) Calculate E(X) with from part (a).
(c) What is the CDF of Y ?
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