An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 125 lb and a standard deviation of 31.1 lb. Part 1 a. If a pilot is randomly​ selected, find the probability that his weight is between 120 lb and 181 lb. The probability is approximately (blank) ​(Round to four decimal places as​ needed.)   b. If 37 different pilots are randomly​ selected, find the probability that their mean weight is between 120 lb and 181 lb. The probability is approximately (blank). ​(Round to four decimal places as​ neede

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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An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of
125 lb and a standard deviation of 31.1 lb.
Part 1
a. If a pilot is randomly​ selected, find the probability that his weight is between 120 lb and 181 lb.
The probability is approximately (blank)
​(Round to four decimal places as​ needed.)
 
b. If 37 different pilots are randomly​ selected, find the probability that their mean weight is between 120 lb and
181 lb.
The probability is approximately (blank).
​(Round to four decimal places as​ needed.)
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