Question: Criminal justice-parole

USA Today reported that approximately 25% of all state prison inmates released on parole become repeat offenders while on parole. Supposed the parole board is examining 5 prisoners up for parole. Let x = the number of prisoners out of 5 on parole who become repeat offenders.

a) Find the probability that one or more of the 5 parolees will be repeat offenders. How does this relate to the probability that none of the parolees will be repeat offenders?

b) Find the probability that 2 or more of the 5 parolees will be repeat offenders

c) Find the probability that 4 or more of the 5 parolees will be repeat offers

d) Compute µ, the expected number of repeat offers out of 5

e) Compute σ, the standard deviation of the number of repeat offenders out of 5