GIVE COMPLETE AND CLEAR ANSWER An engineer is going to redesign an ejection seat
ID: 3246181 • Letter: G
Question
GIVE COMPLETE AND CLEAR ANSWER
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 191 lb. The new population of pilots has normally distributed weights with a mean of 140 lb and a standard deviation of 27.1 lb. a. If a pilot is randomly selected, find the probability that his weight is between 130 lb and 191 lb. b) If 39 pilots arc randomly selected, find the probability that their mean weight is between 130 lb and 191 lb. c) When redesigning the ejection seat, which probability is more relevant, one for a single pilot or tor a sample?Explanation / Answer
a) P(130<X<191)
= P((130-140)/27.1<Z<(191-140)/27.1)
= 0.6140
b) P(130<X<191)
= P(((130-140)/27.1)*Sqrt(39)<Z<(191-140)/27.1)*Sqrt(39)
= 0.9894
c) One for Single pilot is more relevant because we have to care about every individual as it is related to safety
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