Consider 4 trials, each having the same probability of success. Let X denote the total number of successes in these trials. If E[X]=1.6, find each of the following.

(a) The largest possible value of P{X=4}: P{X=4} 0.4

(b) The smallest possible value of P{X=4}: P{X=4} 0 In this case, give possible values for the remaining probabilities: P{X=0}= P{X=1}= P{X=2}= P{X=3}=