3 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 five parolees will be repeat offenders. How does the number relate to the probability that none of the parolees will be repeat offenders. (b) Find the probability that two or more of the five parolees will be repeat offenders. (c) Find the probability that four or more of the five parolees will be repeat offenders (d) Compute u, the expected number of repeat offenders out of five. (e) Compute o, the standard deviation of the number of repeat offenders out of five.

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#14 Criminal Justice: Parole Approximately 25% of all state prison inmates released on parole
become repeat offenders while on parole. Suppose the parole board is examining five prisoners
up for parole. Let x = number of prisoners out of five on parole who become repeat offenders.
The probability assignment for the x distribution is given in the following table.

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 five parolees will be repeat offenders. How
does the number relate to the probability that none of the parolees will be repeat
offenders.
(b) Find the probability that two or more of the five parolees will be repeat offenders.
(c) Find the probability that four or more of the five parolees will be repeat offenders
(d) Compute u, the expected number of repeat offenders out of five.
(e) Compute o, the standard deviation of the number of repeat offenders out of five..
Transcribed Image Text: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 five parolees will be repeat offenders. How does the number relate to the probability that none of the parolees will be repeat offenders. (b) Find the probability that two or more of the five parolees will be repeat offenders. (c) Find the probability that four or more of the five parolees will be repeat offenders (d) Compute u, the expected number of repeat offenders out of five. (e) Compute o, the standard deviation of the number of repeat offenders out of five..
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