ngineer 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 129 lb and a standard deviation of 33.7 lb.   a. If a pilot is randomly​ selected, find the probability that his weight is between 120 lb and 181lb. The probability is approximately ​(Round to four decimal places as​ needed.)   b. If 30 different pilots are randomly​ selected, find the probability that their mean weight is between 120lb and 181lb. The probability is approximately

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
icon
Related questions
Question

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 129 lb and a standard deviation of 33.7 lb.

 

a. If a pilot is randomly​ selected, find the probability that his weight is between 120 lb and 181lb.

The probability is approximately

​(Round to four decimal places as​ needed.)
 
b. If 30 different pilots are randomly​ selected, find the probability that their mean weight is between 120lb and
181lb.
The probability is approximately

​(Round to four decimal places as​ needed.)

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill