An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140 lb and 201 lb. The new population of pilots has normally distributed weights with a mean of 148 lb and a standard deviation of 27.5 lb.   a. If a pilot is randomly​ selected, find the probability that his weight is between 140lb and 201lb.   The probability is approximately 0.58750 ​(Round to four decimal places as​ needed.)   b. If 36 different pilots are randomly​ selected, find the probability that their mean weight is between 140 lb and 201 lb.   The probability is approximately??

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An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140 lb and 201 lb. The new population of pilots has normally distributed weights with a mean of 148 lb and a standard deviation of 27.5 lb.
 
a. If a pilot is randomly​ selected, find the probability that his weight is between 140lb and 201lb.
 
The probability is approximately
0.58750
​(Round to four decimal places as​ needed.)
 
b. If 36 different pilots are randomly​ selected, find the probability that their mean weight is between 140 lb and 201 lb.
 
The probability is approximately??
An engineer is going to redesign an ejection seat for an airplane. The seat was
designed for pilots weighing between 140 Ib and 201 Ib. The new population of
pilots has normally distributed weights with a mean of 148 Ib and a standard
deviation of 27.5 lb.
Click here to view page 1 of the standard normal distribution.
Click here to view page 2 of the standard normal distribution.
a. If a pilot is randomly selected, find the probability that his weight is between
140 Ib and 201 lb.
The probability is approximately 0.5875. (Round to four decimal places as
needed.)
- .5867
b. If 36 different pilots are randor
weight is between 140 lb and 20
You answered:
Correct 0.5875 ± 0.0002
answers: 0.5873 ± 0.0002
The probability is approximately
0.5874 to 0.5875 ± 0.0002
Transcribed Image Text:An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140 Ib and 201 Ib. The new population of pilots has normally distributed weights with a mean of 148 Ib and a standard deviation of 27.5 lb. Click here to view page 1 of the standard normal distribution. Click here to view page 2 of the standard normal distribution. a. If a pilot is randomly selected, find the probability that his weight is between 140 Ib and 201 lb. The probability is approximately 0.5875. (Round to four decimal places as needed.) - .5867 b. If 36 different pilots are randor weight is between 140 lb and 20 You answered: Correct 0.5875 ± 0.0002 answers: 0.5873 ± 0.0002 The probability is approximately 0.5874 to 0.5875 ± 0.0002
An engineer is going to redesign an ejection seat for an airplane. The seat was
designed for pilots weighing between 140 Ilb and 201 Ib. The new population of
pilots has normally distributed weights with a mean of 148 lb and a standard
deviation of 27.5 lb.
Click here to view page 1 of the standard normal distribution.
Click here to view page 2 of the standard normal distribution.
a. If a pilot is randomly selected, find the probability that his weight is between
140 Ib and 201 lb.
The probability is approximately 0.5875. (Round to four decimal places as
needed.)
b. If 36 different pilots are randomly selected, find the probability that their mean
weight is between 140 lb and 201 Ib.
The probability is approximately (Round to four decimal places as needed.)
Transcribed Image Text:An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140 Ilb and 201 Ib. The new population of pilots has normally distributed weights with a mean of 148 lb and a standard deviation of 27.5 lb. Click here to view page 1 of the standard normal distribution. Click here to view page 2 of the standard normal distribution. a. If a pilot is randomly selected, find the probability that his weight is between 140 Ib and 201 lb. The probability is approximately 0.5875. (Round to four decimal places as needed.) b. If 36 different pilots are randomly selected, find the probability that their mean weight is between 140 lb and 201 Ib. The probability is approximately (Round to four decimal places as needed.)
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