Question: 1. Is the following the probability density function of some beta random variableX? If so, find E(X) and Var(X). f (x) = B 12x(1

1. Is the following the probability density function of some beta random variableX? If so, find E(X) and Var(X). f (x) = B 12x(1 − x)2 0 < x < 1 0 otherwise.

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