16. a. If X has a uniform distribution on [0, 1], what are the probability density functions onxami? b. Let X1, . . . ,Xn be independent exponential random variables having density p(:r) = 63. Let Y1, . . . , Yn be random variables dened by K = X1 Yz = X1+X2 n==m+g+m+a i. Find the density of Y}, using induction. ii. Now do the same using moment generating functions. iii. How is the distribution related to the Gamma density