When women were finally allowed to become pilots of fighter​ jets, engineers needed to redesign the ejection seats because they had been originally designed for men only. The ejection seats were designed for men weighing between 130 lb and 201 lb. Weights of women are now normally distributed with a mean of 162 lb and a standard deviation of 42 lb . Complete parts​ (a) through​ (c) below.   a. If 1 woman is randomly​ selected, find the probability that her weight is between  130 lb and  201lb. The probability is ? (Round to four decimal places as needed.)   b. If 26 different women are randomly selected, find the probability that their mean weight is between 130 Ib and 201 Ib. The probability is ________ (Round to four decimal places as needed.)     c. When redesigning the ejection seat, whic probability is more relevant?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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When women were finally allowed to become pilots of fighter​ jets, engineers needed to redesign the ejection seats because they had been originally designed for men only. The ejection seats were designed for men weighing between 130 lb and 201 lb. Weights of women are now normally distributed with a mean of 162 lb and a standard deviation of 42 lb . Complete parts​ (a) through​ (c) below.

 

a. If 1 woman is randomly​ selected, find the probability that her weight is between  130 lb and  201lb.

The probability is ? (Round to four decimal places as needed.)

 

b. If 26 different women are randomly selected, find the probability that their mean weight is between 130 Ib and 201 Ib.

The probability is ________ (Round to four decimal places as needed.)
 
 
c. When redesigning the ejection seat, whic probability is more relevant?
 
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