Question

In: Statistics and Probability

An engineer is going to redesign an ejection seat for an airplane. The seat was designed...

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 149 lb and a standard deviation of 27.1 lb

a. If a pilot is randomly​ selected, find the probability that his weight is between 140 lb and 181 lb.

b. If 31 different pilots are randomly​ selected, find the probability that their mean weight is between 140 lb and 181 lb.

Solutions

Expert Solution

Answer:

Given that:

The new population of pilots has normally distributed weights with a mean of 149 lb and a standard deviation of 27.1 lb

a)  If a pilot is randomly​ selected, find the probability that his weight is between 140 lb and 181 lb.


Mean = 149


Standard deviation = 27.1


b) If 31 different pilots are randomly​ selected, find the probability that their mean weight is between 140 lb and 181 lb.


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