Suppose X is a binomial random variable with parameters n and p. (i.e., there are n trials). Suppose Y is a binomial random variable with parameters n and q. Suppose also that 0 (cid:20) p < q (cid:20) 1. True or false?: P(X (cid:21) k) (cid:20) P(Y (cid:21) k), for any k. If true, provide a proof. If not true, provide a counterexample. (Hint: if you Solution f.