Answered: Assume that military aircraft use…

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

Assume that military aircraft use ejection seats designed for men weighing between 140.6 lb and 210 lb. If women's weights are normally distributed with a mean of 164.7 lb and a standard deviation of 42.7 lb, what percentage of women have weights that are within those limits? Are many women excluded with those specifications?

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.

Expert Solution

Step 1

Obtain the percentage of women have weights that are within those limits.

The percentage of women have weights that are within those limits is obtained below as follows :

From the information, given that the women heights to be between 140.6 lb and 210 lb.

The percentage of women have weights that are within those limits is 56.77%.

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