An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 171 Ib. The new population of pilots has normally distributed weights with a mean of 127 Ib and a standard deviation of 32.8 lb. a. If a pilot is randomly selected, find the probability that his weight is between 120 lb and 171 lb. The probability is approximately (Round to four decimal places as needed.) b. If 30 different pilots are randomly selected, find the probability that their mean weight is between 120 lb and 171 Ib. The probability is approximately (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? A. Part (b) because the seat performance for a sample of pilots more important. B. Part (a) because the seat performance for a sample of pilots is more important. C. Part (b) because the seat performance for a single pilot is more important. D. Part (a) because the seat performance for a single pilot is more important.

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An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 171 Ib. The new population of pilots
has normally distributed weights with a mean of 127 Ib and a standard deviation of 32.8 lb.
a. If a pilot is randomly selected, find the probability that his weight is between 120 lb and 171 lb.
The probability is approximately
(Round to four decimal places as needed.)
b. If 30 different pilots are randomly selected, find the probability that their mean weight is between 120 lb and 171 Ib.
The probability is approximately
(Round to four decimal places as needed.)
c. When redesigning the ejection seat, which probability is more relevant?
A. Part (b) because the seat performance for a sample of pilots
more important.
B. Part (a) because the seat performance for a sample of pilots is more important.
C. Part (b) because the seat performance for a single pilot is more important.
D. Part (a) because the seat performance for a single pilot is more important.
Transcribed Image Text:An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 171 Ib. The new population of pilots has normally distributed weights with a mean of 127 Ib and a standard deviation of 32.8 lb. a. If a pilot is randomly selected, find the probability that his weight is between 120 lb and 171 lb. The probability is approximately (Round to four decimal places as needed.) b. If 30 different pilots are randomly selected, find the probability that their mean weight is between 120 lb and 171 Ib. The probability is approximately (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? A. Part (b) because the seat performance for a sample of pilots more important. B. Part (a) because the seat performance for a sample of pilots is more important. C. Part (b) because the seat performance for a single pilot is more important. D. Part (a) because the seat performance for a single pilot is more important.
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