A prison sentence is less than 13 years? P (X<13) =
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
A prison sentence is less than 13 years?
P (X<13) =
![### Prison Sentences
The average prison sentence for a person convicted of second-degree murder is 15 years. If the sentences are normally distributed with a standard deviation of 1.8 years, find the following probabilities using a TI-83 Plus/TI-84 Plus calculator. Round the answers to at least four decimal places.
#### Part 1 of 2
**(a) A prison sentence is greater than 18 years.**
\[ P(X > 18) = 0.0479 \]
[Correct answer indicated by a green checkmark]
#### Part 2 of 2
**(b) A prison sentence is less than 13 years.**
\[ P(X < 13) = \]
**Note:** The answer for part (b) is not provided and needs to be calculated.
**Progress Tracker:**
The progress bar indicates that part 1 of 2 has been completed. The bar is partially filled to visually represent the completion status.
To find these probabilities, use the normal distribution functions available on a TI-83 Plus/TI-84 Plus calculator and enter the mean (15 years) and standard deviation (1.8 years) as specified.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08ad6c20-d691-4a3f-8949-0fe4518b5718%2Ff991ea04-b458-482c-8ec7-91697b8cd5ef%2Fpemd66m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Prison Sentences
The average prison sentence for a person convicted of second-degree murder is 15 years. If the sentences are normally distributed with a standard deviation of 1.8 years, find the following probabilities using a TI-83 Plus/TI-84 Plus calculator. Round the answers to at least four decimal places.
#### Part 1 of 2
**(a) A prison sentence is greater than 18 years.**
\[ P(X > 18) = 0.0479 \]
[Correct answer indicated by a green checkmark]
#### Part 2 of 2
**(b) A prison sentence is less than 13 years.**
\[ P(X < 13) = \]
**Note:** The answer for part (b) is not provided and needs to be calculated.
**Progress Tracker:**
The progress bar indicates that part 1 of 2 has been completed. The bar is partially filled to visually represent the completion status.
To find these probabilities, use the normal distribution functions available on a TI-83 Plus/TI-84 Plus calculator and enter the mean (15 years) and standard deviation (1.8 years) as specified.
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