# SOLUTION: 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 perso

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 Question 375850: 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. P(0) = P(1) = P(2) = P(3) = P(4) = What is the expected number of parolees in Alice's group who will not be repeat offenders? What is the standard deviation?Answer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website! ``` Hi Note: The probability of x successes in n trials is: P = nCx* where p and q are the probabilities of success and failure respectively. In this case p = .75 & q = .25 nCx = P(0) = .25^4 = .0039 P(1) = 4(.75)(.25)^3 = .0469 4C1 = 4 P(2) = 6(.75)^2(.25)^2 = .2109 4C2 = 6 P(3) = 4(.75)^3(.25)1 = .4219 4C3 = 4 P(4) = (.75)^4 = .3164 .75*4 = 3 will not be repeat offenders ```