Question

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

130lb and 191 lbs.  The new population of pilots has normally distributed weights with a mean of 136 lb and a standard deviation of 34.7 lb.

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

130 lbs and 191 lbs .The probability is approximately?

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

b. If 39 different pilots are randomly​ selected, find the probability that their mean weight is between

130 lb and 191lb. The probability is approximately?

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

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