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 138 lb and a standard deviation of 29.9 lb. a. If a pilot is randomly​ selected, find the probability that his weight is between 130 lb and 191 lb.   The probability is approximately 0.56730.5673. ​(Round to four decimal places as​ needed.)   b. If 33 different pilots are randomly​ selected, find the probability that their mean weight is between 130lb and 191lb.   The probability is approximately nothing. ​(Round to four decimal places as​ needed.)

MATLAB: An Introduction with Applications
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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
138 lb
and a standard deviation of
29.9 lb.
a. If a pilot is randomly​ selected, find the probability that his weight is between
130
lb and
191
lb.
 
The probability is approximately
0.56730.5673.
​(Round to four decimal places as​ needed.)
 
b. If 33 different pilots are randomly​ selected, find the probability that their mean weight is between 130lb and 191lb.
 
The probability is approximately
nothing.
​(Round to four decimal places as​ needed.)
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