(b) Find the probability that two or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.) (c) Find the probability that four or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.) (d) Compute μ, the expected number of repeat offenders out of five. (Round your answer to three decimal places.) prisoners H=
(b) Find the probability that two or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.) (c) Find the probability that four or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.) (d) Compute μ, the expected number of repeat offenders out of five. (Round your answer to three decimal places.) prisoners H=
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![(b) Find the probability that two or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.)
[Textbox for answer]
(c) Find the probability that four or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.)
[Textbox for answer]
(d) Compute μ, the expected number of repeat offenders out of five. (Round your answer to three decimal places.)
μ = [Textbox for answer] prisoners
(e) Compute σ, the standard deviation of the number of repeat offenders out of five. (Round your answer to two decimal places.)
σ = [Textbox for answer] prisoners](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29c548e8-67ee-420f-9864-c921ec696bc8%2Faf6e6a0a-b55e-4eaf-8b86-883f1a077373%2Fdd0tna8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(b) Find the probability that two or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.)
[Textbox for answer]
(c) Find the probability that four or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.)
[Textbox for answer]
(d) Compute μ, the expected number of repeat offenders out of five. (Round your answer to three decimal places.)
μ = [Textbox for answer] prisoners
(e) Compute σ, the standard deviation of the number of repeat offenders out of five. (Round your answer to two decimal places.)
σ = [Textbox for answer] prisoners
![**Parole and Repeat Offenders Statistics**
*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 \( x \) represent the number of prisoners out of five on parole who become repeat offenders.
The following table provides the probability distribution of \( x \):
\[
\begin{array}{c|cccccc}
x & 0 & 1 & 2 & 3 & 4 & 5 \\
\hline
P(x) & 0.217 & 0.378 & 0.228 & 0.150 & 0.026 & 0.001 \\
\end{array}
\]
This table outlines the probability (\( P(x) \)) corresponding to each possible value of \( x \), where \( x \) varies from 0 to 5. Each probability reflects the likelihood of that number of prisoners becoming repeat offenders. For instance, there is a 37.8% chance that exactly one out of five prisoners will reoffend while on parole.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29c548e8-67ee-420f-9864-c921ec696bc8%2Faf6e6a0a-b55e-4eaf-8b86-883f1a077373%2Fdmbamec_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Parole and Repeat Offenders Statistics**
*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 \( x \) represent the number of prisoners out of five on parole who become repeat offenders.
The following table provides the probability distribution of \( x \):
\[
\begin{array}{c|cccccc}
x & 0 & 1 & 2 & 3 & 4 & 5 \\
\hline
P(x) & 0.217 & 0.378 & 0.228 & 0.150 & 0.026 & 0.001 \\
\end{array}
\]
This table outlines the probability (\( P(x) \)) corresponding to each possible value of \( x \), where \( x \) varies from 0 to 5. Each probability reflects the likelihood of that number of prisoners becoming repeat offenders. For instance, there is a 37.8% chance that exactly one out of five prisoners will reoffend while on parole.
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