a. If 1 woman is randomly selected, find the probability that her weight is between 140 lb and 201 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 201 lb. Weights of women are now normally distributed with a mean of 162 lb and a
standard deviation of 39 lb. Complete parts (a) through (c) below.
C
a. If 1 woman is randomly selected, find the probability that her weight is between 140 lb and 201 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 140 lb and 201 lb. Weights of women are now normally distributed with a mean of 162 lb and a standard deviation of 39 lb. Complete parts (a) through (c) below. C a. If 1 woman is randomly selected, find the probability that her weight is between 140 lb and 201 lb. The probability is approximately. (Round to four decimal places as needed.)
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Follow-up Question

a. If 1 woman is randomly​ selected, find the probability that her weight is between  140 lb and  201lb.

The probability is 0.55500 (Round to four decimal places as needed.)

 

b. If 26 different women are randomly selected, find the probability that their mean weight is between 140 Ib and 201 Ib.

The probability is ________ (Round to four decimal places as needed.)
 
 
c. When redesigning the ejection seat, whic probability is more relevant?
 
a. The part (a) probability is more relevant because the seat performance for a sample of pilots is more important.
 
b. The part (b) probability is more relevant because the seat performance for a sample of pilots is more important.
 
c. The part (b) probability is more relevant because the seat peformance for a single pilot is more important.
 
d. The part (a) probability is more relevant because the seat performance for a single piolot 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 201 lb. Weights of women are now normally distributed with a mean of 162 lb and a
standard deviation of 39 lb. Complete parts (a) through (c) below.
C
a. If 1 woman is randomly selected, find the probability that her weight is between 140 lb and 201 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 140 lb and 201 lb. Weights of women are now normally distributed with a mean of 162 lb and a standard deviation of 39 lb. Complete parts (a) through (c) below. C a. If 1 woman is randomly selected, find the probability that her weight is between 140 lb and 201 lb. The probability is approximately. (Round to four decimal places as needed.)
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