The average prison sentence for a person convicted of second-degree murder is 14 years. If the sentences are normally distributed with a standard deviation of 2.3 years, find these probabilities: A prison sentence is less than 16 years.A prison sentence is greater than 18 yearsA prison sentence is between 16 and 18 years A prison sentence is between 12 and 17 years

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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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The average prison sentence for a person convicted of second-degree murder is 14 years. If the sentences are normally distributed with a standard deviation of 2.3 years, find these probabilities:

A prison sentence is less than 16 years.
A prison sentence is greater than 18 years
A prison sentence is between 16 and 18 years
A prison sentence is between 12 and 17 years

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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