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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 181 lb. Weights of women are now normally distributed with a mean of 171 lb and a standard deviation of 44 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 181 lb. The probability is approximately 0.4142. (Round to four decimal places as needed.) b. If 28 different women are randomly selected, find the probability that their mean weight is between 130 lb and 181 lb. The probability is approximately (Round to four decimal places as needed.)

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 181 lb. Weights of women are now normally distributed with a mean of 171 lb and a standard deviation of 44 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 181 lb. The probability is approximately 0.4142. (Round to four decimal places as needed.) b. If 28 different women are randomly selected, find the probability that their mean weight is between 130 lb and 181 lb. The probability is approximately (Round to four decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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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 181 lb. Weights of women are now normally distributed with a mean of 171 lb and a standard deviation of 44 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 181 lb. The probability is approximately 0.4142. (Round to four decimal places as needed.) b. If 28 different women are randomly selected, find the probability that their mean weight is between 130 lb and 181 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 130 lb and 181 lb. Weights of women are now normally distributed with a mean of 171 lb and a standard deviation of 44 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 181 lb. The probability is approximately 0.4142. (Round to four decimal places as needed.) b. If 28 different women are randomly selected, find the probability that their mean weight is between 130 lb and 181 lb. The probability is approximately (Round to four decimal places as needed.)
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