Question: (a) Derive the E(X*) for k > 1 and then find mean and variance of the standar beta distribution. (5 pts) (b) Suppose the random

(a) Derive the E(X*) for k > 1 and then find mean and variance of the standar beta distribution. (5 pts) (b) Suppose the random variable X follows a standard beta distribution with a = and B = 3. Determine the mean, variance and median of X. (4 pts) (c) Find the probability that X > 1/3 in part(b). (1 pt)

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