An insurance company finds that the proportion X of itssalespeople who sell more than $25,000 worth of insurance in a given week is a random variable with the beta probability density functionf(x) = 60x^3(1 - x)^2, 0 ≤ x ≤ 1.(a) Compute E(X ) and give an interpretation of thisquantity.(b) Compute Var(X ).

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