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1. The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8 . 6 c m .

a. Find the probability that an individual distance is greater than 2 0 7 . 5 0 c m.

b. Find the probability that the mean for 2 0 randomly selected distances is greater than 1 9 3 . 2 0 c m .

2. An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 1 5 0 lb and 2 0 1 lb. The new population of pilots has normally distributed weights with a mean of

155 lb and a standard deviation of 31.9 lb.

A . If a pilot is randomly selected, find the probability that his weight is between 1 5 0 lb and 2 0 1 lb.

The probability is approximately…

B. If 3 2 different pilots are randomly selected, find the probability that their mean weight is between 1 5 0 lb and 2 0 1 lb.

The probability is approximately …..

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