2. USA Today reported that approximately 35% of all state prison inmates released on parole become repeat offenders while on parole. Suppose the parole board is examining seven prisoners up for parole. Let x = number of prisoners out of seven on parole who become repeat offenders. We have the following information: P (x) 0 0.04902 1 0.18478 2 0.29848 3 0.26787 4 0.14424 5 0.04660 6 0.00836 7 0.00064 a) Is this a probability distribution? EXPLAIN VERY WELL WHY. b) Find the probability that one or more of the seven parolees will be repeat offenders. Show all the necessary work to obtain your answer. c) Find the probability that less than four of the seven parolees will be repeat offenders. Show all