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. x 0 1 2 3 4 5 P(x) 0.229 0.360 0.224 0.169 0.017 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.) b) Compute ?, the expected number of repeat offenders out of five. (Round your answer to three decimal places.) ? = prisoners c) Compute ?, the standard deviation of the number of repeat offenders out of five. (Round your answer to two decimal places.) ? = 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. x 0 1 2 3 4 5 P(x) 0.229 0.360 0.224 0.169 0.017 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.) b) Compute ?, the expected number of repeat offenders out of five. (Round your answer to three decimal places.) ? = prisoners c) Compute ?, the standard deviation of the number of repeat offenders out of five. (Round your answer to two decimal places.) ? = prisoners
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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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.
x | 0 | 1 | 2 | 3 | 4 | 5 |
P(x) | 0.229 | 0.360 | 0.224 | 0.169 | 0.017 | 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.)
b) Compute ?, the expected number of repeat offenders out of five. (Round your answer to three decimal places.)
? = prisoners
c) Compute ?, the standard deviation of the number of repeat offenders out of five. (Round your answer to two decimal places.)
? = prisoners
? = prisoners
c) Compute ?, the standard deviation of the number of repeat offenders out of five. (Round your answer to two decimal places.)
? = prisoners
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