If Xi, i = 1, 2, 3, are independent exponential random variables with rates i , i

If Xi, i = 1, 2, 3, are independent exponential random variables with rates λi , i = 1, 2, 3, find

(a) P{X1

(b) P{X1

(c) E[maxXi |X1

(d) E[maxXi ].