An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 150lb and 201lb. The new population of pilots has normally distributed weights with a mean of 157 lb and a standard deviation of 32.5lb. a. If a pilot is randomly selected, find the probability that his weight is between 120lb and 181lb. The probability is approximately (Round to four decimal places as needed.) b. If 31 different pilots are randomly selected, find the probability that their mean weight is between 120lb and 181lb. The probability is approximately (Round to four decimal places as needed.)
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 150lb and 201lb. The new population of pilots has
a. If a pilot is randomly selected, find the
The probability is approximately
The question is about normal dist.
Givem :
Popl. mean weight of pilots ( ) = 157 lb
Popl. std. deviation of the pilots ( ) = 32.5 lb
To find :
a ) If a pilot is randomly selected, then prob. that his weight is between 120lb and 181lb
b ) If 31 different pilots are randomly selected, then prob. that their mean weight is between 120lb and 181lb.
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