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 165 lb and a standard deviation of 38 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 211 lb. The probability is approximately 0.6316. (Round to four decimal places as needed.) b. If 35 different women are randomly selected, find the probability that their mean weight is between 140 lb and 211 lb. The probability is approximately 0.9999. (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? OA. The part (a) probability is more relevant because the seat performance for a single pilot is more important. B. The part (b) probability is more relevant because the seat performance for a single pilot is more important. OC. The part (b) probability is more relevant because the seat performance for a sample of pilots is more important. OD. The part (a) probability is more relevant because the seat performance for a sample of pilots is more important.
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 165 lb and a standard deviation of 38 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 211 lb. The probability is approximately 0.6316. (Round to four decimal places as needed.) b. If 35 different women are randomly selected, find the probability that their mean weight is between 140 lb and 211 lb. The probability is approximately 0.9999. (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? OA. The part (a) probability is more relevant because the seat performance for a single pilot is more important. B. The part (b) probability is more relevant because the seat performance for a single pilot is more important. OC. The part (b) probability is more relevant because the seat performance for a sample of pilots is more important. OD. The part (a) probability is more relevant because the seat performance for a sample of pilots is more important.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 lb. Weights of women are now normally distributed with a mean of 165 lb and a standard deviation of 38 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 211 lb.
The probability is approximately 0.6316. (Round to four decimal places as needed.)
b. If 35 different women are randomly selected, find the probability that their mean weight is between 140 lb and 211 lb.
The probability is approximately 0.9999. (Round to four decimal places as needed.)
c. When redesigning the ejection seat, which probability is more relevant?
OA. The part (a) probability is more relevant because the seat performance for a single pilot is more important.
B. The part (b) probability is more relevant because the seat performance for a single pilot is more important.
OC. The part (b) probability is more relevant because the seat performance for a sample of pilots is more important.
OD. The part (a) probability is more relevant because the seat performance for a sample of pilots is more important.
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