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 five prisoners up for parole. Let x = number of prisoners out of five on parole who become repeat offenders. 2 3 4 P(x) 0.220 0.366 0.229 0.164 0.020 0.001 (a) Find the probability that one or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.) 0.789 How does this number relate to the probability that none of the parolees will be repeat offenders? O This is the complement of the probability of no repeat offenders. O These probabilities are not related to each other. O These probabilities are the same. O This is five times the probability of no repeat offenders. O This is twice the probability of no repeat offenders. (b) Find the probability that two or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.) 0.411 (c) Find the probability that four or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.) 0.033 (d) Compute p, the expected number of repeat offenders out of five. (Round your answer to three decimal places.) H=1.429 X prisoners (e) Compute a, the standard deviation of the number of repeat offenders out of five. (Round your answer to two decimal places.) a = 9 58 X prisoners
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 five prisoners up for parole. Let x = number of prisoners out of five on parole who become repeat offenders. 2 3 4 P(x) 0.220 0.366 0.229 0.164 0.020 0.001 (a) Find the probability that one or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.) 0.789 How does this number relate to the probability that none of the parolees will be repeat offenders? O This is the complement of the probability of no repeat offenders. O These probabilities are not related to each other. O These probabilities are the same. O This is five times the probability of no repeat offenders. O This is twice the probability of no repeat offenders. (b) Find the probability that two or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.) 0.411 (c) Find the probability that four or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.) 0.033 (d) Compute p, the expected number of repeat offenders out of five. (Round your answer to three decimal places.) H=1.429 X prisoners (e) Compute a, the standard deviation of the number of repeat offenders out of five. (Round your answer to two decimal places.) a = 9 58 X prisoners
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Transcribed Image Text: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 five prisoners
up for parole. Let x = number of prisoners out of five on parole who become repeat offenders.
0.
3.
4
P(x) 0.220
0.366
0.229
0.164
0.020
0.001
(a) Find the probability that one or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.)
0.789
How does this number relate to the probability that none of the parolees will be repeat offenders?
This is the complement of the probability of no repeat offenders.
O These probabilities are not related to each other.
O These probabilities are the same.
O This is five times the probability of no repeat offenders.
O This is twice the probability of no repeat offenders.
(b) Find the probability that two or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.)
0.411
(c) Find the probability that four or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.)
0.033
(d) Compute u, the expected number of repeat offenders out of five. (Round your answer to three decimal places.)
H = 1.429
X prisoners
(e) Compute a, the standard deviation of the number of repeat offenders out of five. (Round your answer to two decimal places.)
o = 9 58
x prisoners
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