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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 USE SALT (a) Find the probability P(r) of r successes ranging from 0 to 4. (Round your answers to three decimal places.) P(0) = P(1) = P(2) = P(3) = %3D P(4) = (b) Make a histogram for the probability distribution of part (a). 0.35 0.4 0.3 0.25 0.3- 0.2 P(r) P(r) 0.2 0.15 0.1 0.1 0.05 0 1 2 3 4 1 3 4 0.35 0.6- 0.3 0.5 0.25 0,4 0.2 P(r) P(r) 0.3 0.15 0.2 01 0.1- 0.05 1 2 3 4 2 3 4 (c) What is the expected number of parolees in Alice's group who will not be repeat offenders? parolees What is the standard deviation? (Round your answer to two decimal places.) parolees

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 USE SALT (a) Find the probability P(r) of r successes ranging from 0 to 4. (Round your answers to three decimal places.) P(0) = P(1) = P(2) = P(3) = %3D P(4) = (b) Make a histogram for the probability distribution of part (a). 0.35 0.4 0.3 0.25 0.3- 0.2 P(r) P(r) 0.2 0.15 0.1 0.1 0.05 0 1 2 3 4 1 3 4 0.35 0.6- 0.3 0.5 0.25 0,4 0.2 P(r) P(r) 0.3 0.15 0.2 01 0.1- 0.05 1 2 3 4 2 3 4 (c) What is the expected number of parolees in Alice's group who will not be repeat offenders? parolees What is the standard deviation? (Round your answer to two decimal places.) parolees

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 35E
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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. In USE SALT (a) Find the probability P(r) of r successes ranging from 0 to 4. (Round your answers to three decimal places.) P(0) = P(1) P(2) P(3) = P(4) = (b) Make a histogram for the probability distribution of part (a). 0.35 0.4 0.3 0.25 0.3- 0.2 P(r) P(r) 0.2 0.15 0.1 0.1- 0.05 1 3 4 1 2 3 0.35 0.6- 0.3- 0.5- 0.25 0.4- 0.2- P(r) 0.3- P(r) 0.15 0.2- 0.1 0.1- 0.05 1 1 r r (c) What is the expected number of parolees in Alice's group who will not be repeat offenders? parolees What is the standard deviation? (Round your answer to two decimal places.) parolees (d) What is the smallest group Alice can counsel to be at least 98% sure that three or more parolees will not become repeat offenders? parolees
Transcribed Image Text: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. In USE SALT (a) Find the probability P(r) of r successes ranging from 0 to 4. (Round your answers to three decimal places.) P(0) = P(1) P(2) P(3) = P(4) = (b) Make a histogram for the probability distribution of part (a). 0.35 0.4 0.3 0.25 0.3- 0.2 P(r) P(r) 0.2 0.15 0.1 0.1- 0.05 1 3 4 1 2 3 0.35 0.6- 0.3- 0.5- 0.25 0.4- 0.2- P(r) 0.3- P(r) 0.15 0.2- 0.1 0.1- 0.05 1 1 r r (c) What is the expected number of parolees in Alice's group who will not be repeat offenders? parolees What is the standard deviation? (Round your answer to two decimal places.) parolees (d) What is the smallest group Alice can counsel to be at least 98% sure that three or more parolees will not become repeat offenders? parolees
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