10. In addition to many other wonderful services it provides, CourseCheggHero benefits nancially from its customers' inability and/ or unwillingness to do their homework. Suppose that the time (in days) it takes CourseCheggHero to respond with an answer after a CourseC hcggHero enthusiast decides to delegate solving a homework problem to a random stranger (because the CourseCheggHero enthusiast cares so much about grades, of course) varies from problem to problem according to the probability density function _ 2 f(x;'t) = Le x /T, x>0, zero otherwise, WIT where 'C > 0 is an unknown parameter. Let X1 , X2 , , Xn be a random sample from the above probability distribution. Show that W = X 2 follows a Gamma distribution. What are the parameters 0t and G for this Gamma distribution? That is, show that the probability density function of W is 1 (11 w/9 f (w)=w e / , t>0. W 1\"(0t)9' Identify 0t and 9. No credit will be given without proper justication