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

Question

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140 Ib and 191 lb. The new population of pilots has normally distributed weights with a mean of 145 lb and a standard deviation of 29.6 Ib. a. If a pilot is randomly selected, find the probability that his weight is between 140 lb and 191 lb. The probability is approximately 0.5069 (Round to four decimal places as needed) b. If 40 different pilots are randomly selected, find the probability that their mean weight is between 140 lb and 191 lb. The probability is approximately 08576 (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? A. Part (a) because the seat performance for a sample of pilots is more important O B. Part (b) because the seat performance for a single pilot is more important O C. Part (a) because the seat performance for a single pilot is more important D. Part (b) because the seat performance for a sample of pilots is more important

Explanation / Answer

Solution :

Its D)

Part (b) because the seat performance for a sample of pilots is more important .

There is a standard deviation is high the seats must be at least each side of the mean .

If the accomodate an individual pilot it will a large sample of pilots .

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