An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 150 and 201 lb. The new population of pilots has normally distributed weights with a mean of 155lb and a standard deviation of 27.4 lb.

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

150lb and 201 lb.The probability is approximately what

The overhead reach distances of adult females are normally distributed with a mean of

205 cm and a standard deviation of 8.9 cm

a. Find the probability that an individual distance is greater than 217.50cm.

b. Find the probability that the mean for 15 randomly selected distances is greater than 202.80 cm.

c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?