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 201 b. Weights of women are now normally distributed with a mean of 161 lb and a standard deviation of 43 lb. Complete parts (a) through (c) below. m a. If 1 woman is randomly selected, find the probability that her weight is between 150 b and 201 lb. The probability is approximately (Round to four decimal places as needed.) b. If 30 different women are randomly selected, find the probability that their mean weight is between 150 lb and 201 lb. The probability is approximately (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? OA. The part (b) probability is more relevant because the seat performance for a sample of pilots is more important OB. The part (a) probability is more relevant because the seat performance for a sample of pilots is more important. OC. The part (a) probability is more relevant because the seat performance for a single pilot is more important OD. The part (b) probability is more relevant because the seat performance for a single pilot is more important.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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 201 b. Weights of
women are now normally distributed with a mean of 161 lb and a standard deviation of 43 lb. Complete parts (a) through (c) below.
CITT
a. If 1 woman is randomly selected, find the probability that her weight is between 150 lb and 201 lb.
The probability is approximately (Round to four decimal places as needed.)
b. If 30 different women are randomly selected, find the probability that their mean weight is between 150 lb and 201 lb.
The probability is approximately (Round to four decimal places as needed.)
c. When redesigning the ejection seat, which probability is more relevant?
OA. The part (b) probability is more relevant because the seat performance for a sample of pilots is more important.
OB. The part (a) probability is more relevant because the seat performance for a sample of pilots is more important
OC. The part (a) probability is more relevant because the seat performance for a single pilot is more important.
OD. The part (b) probability is more relevant because the seat performance for a single pilot is more important.
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 201 b. Weights of women are now normally distributed with a mean of 161 lb and a standard deviation of 43 lb. Complete parts (a) through (c) below. CITT a. If 1 woman is randomly selected, find the probability that her weight is between 150 lb and 201 lb. The probability is approximately (Round to four decimal places as needed.) b. If 30 different women are randomly selected, find the probability that their mean weight is between 150 lb and 201 lb. The probability is approximately (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? OA. The part (b) probability is more relevant because the seat performance for a sample of pilots is more important. OB. The part (a) probability is more relevant because the seat performance for a sample of pilots is more important OC. The part (a) probability is more relevant because the seat performance for a single pilot is more important. OD. The part (b) probability is more relevant because the seat performance for a single pilot is more important.
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