SOLUTION: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 150lbs and 211lbs. The new population of pilots has normally di

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Question 1044521: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 150lbs and 211lbs. The new population of pilots has normally distributed weights with a mean of 156lb and a standard deviation of 30.9lb.
A. If a pilot is randomly selected, find probablility that his weight is between 150lbs and 211lbs.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(x-mean)/sd
z=(150-156)/30.9=-6/30.9=-0.194
z=(211-156)/30.9=+1.780
Want the probability of z between those two values. It is 0.5394.