Let X be a nonnegative integer-valued random variable with probability generating rneiion Gm and let a E R. a. Derive an upper bound for P{X 3 a} involving GI, analogous to the Chernoff bound. b. Suppose that X has binomial distribution with parameters n E {2, 3, . . .} and p E (U, 1), i.e., binomial Kn, p). Use part a to obtain an upper bound for P{X 3 a}