Question: 6.49 Suppose the random variable X follows a beta distribution with = 1 and = 3. (a) Determine the mean and median of

6.49 Suppose the random variable X follows a beta distribution with α = 1 and β = 3.

(a) Determine the mean and median of X.

(b) Determine the variance of X.

(c) Find the probability that X > 1/3.

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