2. USA Today reported that approximately 25% of all state prison inmates released on parole become repeat offenders while on parole. Suppose the parole board is examining five prisoners up for parole. Let r = number of prisoners out of five on parole who become repeat offenders. We have the following information: P(I) 0 0.237 1 0.396 2 0.263 3 0.088 4 0.015 5 0.001 a) Is this a probability distribution? EXPLAIN VERY WELL WHY. b) Find the probability that one or more of the five parolees will be repeat offenders. Show all the necessary work to obtain your answer. c) Find the probability that less than four of the five parolees will be repeat offenders. Show all the necessary work to obtain your answer. d) Compute /, the expected number of repeat offenders out of five. Show all the necessary work