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 140 lb and 211 lb. Weights of women are now normally distributed with a mean of 162 Ib and a standard deviation of - ib. Complete parts (a) through (c) below. a. If 1 woman is randomly selected, find the probability that her weight is between 140 lb and 211 lb. The probability is approximately 0.5882. (Round to four decimal places as needed.) b. If 25 different women are randomly selected, find the probability that their mean weight is between 140 lb and 211 lb. The probability is approximately (Round to four decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
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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 140 lb and 211 Ib.
Weights of women are now normally distributed with a mean of 162 Ib and a standard deviation of 41 lb. Complete parts (a) through (c) below.
a. If 1 woman is randomly selected, find the probability that her weight is between 140 Ib and 211 lb.
The probability is approximately 0.5882. (Round to four decimal places as needed.)
b. If 25 different women are randomly selected, find the probability that their mean weight is between 140 lb and 211 Ib.
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 140 lb and 211 Ib. Weights of women are now normally distributed with a mean of 162 Ib and a standard deviation of 41 lb. Complete parts (a) through (c) below. a. If 1 woman is randomly selected, find the probability that her weight is between 140 Ib and 211 lb. The probability is approximately 0.5882. (Round to four decimal places as needed.) b. If 25 different women are randomly selected, find the probability that their mean weight is between 140 lb and 211 Ib. The probability is approximately |- (Round to four decimal places as needed.)
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Follow-up Question
If 25
different women are randomly​ selected, find the probability that their mean weight is between
140
lb and
181
lb.
 
 
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 140 lb and 181 lb. Weights of women are
now normally distributed with a mean of 162 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 140 lb and 181 lb.
The probability is approximately. (Round to four decimal places as needed.)
C
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 140 lb and 181 lb. Weights of women are now normally distributed with a mean of 162 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 140 lb and 181 lb. The probability is approximately. (Round to four decimal places as needed.) C
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