=+22.3. 1

(a) Generalize the Borel-Cantelli lemmas: Suppose X ,, are nonnegative If LE[ X ,, ] <@, then EX ,, converges with probability 1. If the X ,, are indepen-

dent and uniformly bounded, and if LE[X ,, ] =", then EX ,, diverges with probability 1.