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 150 lb and 191 lb. Weights of women are now normally distributed with a mean of 175 lb and a standard deviation of 46 lb. Complete parts (a) through (c) below. a. If 1 woman is randomly selected, find the probability that her weight is between 150 lb and 191 lb. The probability is approximately (Round to four decimal places as needed.) b. If 28 different women are randomly selected, find the probability that their mean weight is between 150 lb and 191 lb. The probability is approximately. (Round to four decimal places as needed.)

A First Course in Probability (10th Edition)
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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 150 lb and 191 lb. Weights of
women are now normally distributed with a mean of 175 lb and a standard deviation of
46 lb. Complete parts (a) through (c) below.
...
a. If 1 woman is randomly selected, find the probability that her weight is between 150 lb
and 191 lb.
The probability is approximately (Round to four decimal places as needed.)
b. If 28 different women are randomly selected, find the probability that their mean weight is
between 150 lb and 191 lb.
The probability is approximately
(Round to four decimal places as needed.)
Transcribed Image Text: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 150 lb and 191 lb. Weights of women are now normally distributed with a mean of 175 lb and a standard deviation of 46 lb. Complete parts (a) through (c) below. ... a. If 1 woman is randomly selected, find the probability that her weight is between 150 lb and 191 lb. The probability is approximately (Round to four decimal places as needed.) b. If 28 different women are randomly selected, find the probability that their mean weight is between 150 lb and 191 lb. The probability is approximately (Round to four decimal places as needed.)
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