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kifflom [539]
3 years ago
9

An engineer is going to redesign an ejection seat for an airplane. the seat was designed for pilots weighing between 150150 lb a

nd 191191 lb. the new population of pilots has normally distributed weights with a mean of 155 lb155 lb and a standard deviation of 34.8 lb34.8 lb.
a. if a pilot is randomly​ selected, find the probability that his weight is between 150150 lb and 191191 lb. the probability is approximately nothing. ​(round to four decimal places as​ needed.)
b. if 3434 different pilots are randomly​ selected, find the probability that their mean weight is between 150150 lb and 191191 lb. the probability is approximately nothing. ​(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 single pilot is more important.
b. part​ (b) because the seat performance for a sample of pilots is more important.
c. part​ (a) because the seat performance for a sample of pilots is more important.
d. part​ (a) because the seat performance for a single pilot is more important.

Mathematics
1 answer:
Elenna [48]3 years ago
8 0

a. The probability the pilot's weight is between 150 and 191 is 0.4067

b. The probability the group's mean weight is between 150 and 191 is 0.7989

c. The more relevant probability is ...

... d. part (a) because the seat performance for a single pilot is more important

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