36. Suppose waiting time for delivery of an item is uniform on the interval from u1 to u2 [so f (x; u1, u2) 

1/(u2  u1) for u1  x  u2 and is 0 otherwise]. Consider a random sample of nwaiting times, and use the factorization theorem to show that min(Xi), max(Xi)

is a pair of jointly suf cient statistics for u1 and u2.

(Hint: Introduce an appropriate indicator function as we did in Example 7.27.)