Criminal Justice: Parole 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 fi ve prisoners up for parole.

Let x 5 number of prisoners out of fi ve on parole who become repeat offenders. The methods of Section 6.2 can be used to compute the probability assignments for the x distribution.
x 0 1 2 3 4 5 P(x) 0.237 0.396 0.264 0.088 0.015 0.001

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

(b) Find the probability that two or more of the fi ve parolees will be repeat offenders.

(c) Find the probability that four or more of the fi ve parolees will be repeat offenders.

(d) Compute m, the expected number of repeat offenders out of fi ve.

(e) Compute s, the standard deviation of the number of repeat offenders out of fi ve.