MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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
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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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