5.29 Let X(r) denote the rth-order statistic of a random sample of size 5 from any continuous population and kp denote the pth quantile of this population.

Find:

(a) P(X(1) < k0:5 < X(5))

(b) P(X(1) < k0:25 < X(3))

(c) P(X(4) < k0:80 < X(5))