Let W have the Maxwell distribution with pdf f(w) =1 we w /2 w > 0. [This is the pdf for the square root of a chi-square(3) random variable.] (a) Show that E(W) = 2V?. Hint: use the change of variables x = w2/2 to convert the integrand into something proportional to a gamma pdf. (b) It may also be shown (but you need not do it) that E(W2) = 3 using I(5/2) = 3Y" (see Slide 93). Now compute the variance of W. (c) Use the central limit theorem to approximate P(W