An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 150lb and 191 lb. The new population of pilots has normally distributed weights with a mean of 159lb and a standard deviation of 34.1lb. A) If a pilot is randomly selected, find the probability that his weight is between 150 and 191 lb.B) If 35 different pilots are randomly selected, find the probability that their mean weight is between 150 and 191 lb.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 150lb and 191 lb. The new population of pilots has normally distributed weights with a mean of 159lb and a standard deviation of 34.1lb.

A) If a pilot is randomly selected, find the probability that his weight is between 150 and 191 lb.

B) If 35 different pilots are randomly selected, find the probability that their mean weight is between 150 and 191 lb.

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