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Criminal Justice: Parole

USA Today reports that about 25% of all prison parolees become repeat offenders. Alice is a social worker whose job is to counsel people on parole. Let us say success means a person does not become a repeat offender. Alice has been given a group of four parolees.

(a) Find the probability P(r) of r successes ranging from 0 to 4.

(b) Make a histogram for the probability distribution of part (a).

(c) What is the expected number of parolees in Alice's group who will not be repeat offenders? What is the standard deviation?

(d) Quota Problem How large a group should Alice counsel to be about 98% sure that three or more parolees will not become repeat offenders?

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