Assume that military aircraft use ejection seats designed for men weighing between135.8lb and 212lb. If​ women's weights are normally distributed with a mean of 163.5 lb and a standard deviation of 43.5 ​lb, what percentage of women have weights that are within those​ limits? Are many women excluded with those​specifications?   a. The percentage of women that have weights between those limits is ​(Round to two decimal places as​ needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Assume that military aircraft use ejection seats designed for men weighing between135.8lb and 212lb. If​ women's weights are normally distributed with a mean of 163.5 lb and a standard deviation of 43.5 ​lb, what percentage of women have weights that are within those​ limits? Are many women excluded with those​specifications?

 

a. The percentage of women that have weights between those limits is

​(Round to two decimal places as​ needed.)
Expert Solution
Step 1

The random variable weight follows normal distribution.

The population mean is 163.5.

The population standard deviation is 43.5.

We have to find the percentage of women have weights that are within between 135.8 lb and 212 lb.

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman