Suppose X has an exponential distribution with = 7 and y = g(x) = x^3/2

3 3. Suppose X has an exponential distribution with ii = T and y = 3(5):?) : x5. a} Find the expected value E (Y) and the variance VarEY) of a random variable Y directly from probability density function f}. (Y). {12 marks) b) Approximate the mean and variance of Y by the method of statistical differential and compare them with the exact values 'om part (a). (8 marks)