An insurance company finds that the proportion X of its salespeople who sell more than $25,000 worth of insurance in a given week is a random variable with the beta probability density function f(x) =...

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