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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) 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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