An engineer is going to redesign an ejection seat for an airplane The seat was designed for pilots weighing between 130130 lb and 181181 lb The new population of pilots has normally distributed weights with a mean of 136 lb136lb and a standard deviation of 25 6 lb25 6lb Click here to view page 1 of the standard normal distribution LOADING Click here to view page 2 of the standard normal distribution LOADING Question content area bottom Part 1 a If a pilot is randomly selected, find the probability that his weight is between 130130 lb and 181181 lb The probability is approximately 0 55330 5533 (Round to four decimal places as needed ) Part 2 b If 3838 different pilots are randomly selected, find the probability that their mean weight is between 130130 lb and 181181 lb The probability is approximately 150150 (Round to four decimal places as needed )

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Question: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130130 lb and 181181 lb.

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between

130130

lb and

181181

lb. The new population of pilots has normally distributed weights with a mean of

136 lb136lb

and a standard deviation of

25.6 lb25.6lb.

Click here to view page 1 of the standard normal distribution.

Click here to view page 2 of the standard normal distribution.

Question content area bottom

Part 1

a. If a pilot is randomly selected, find the probability that his weight is between

130130

lb and

181181

lb.

The probability is approximately

0.55330.5533.

(Round to four decimal places as needed.)

Part 2

b. If

3838

different pilots are randomly selected, find the probability that their mean weight is between

130130

lb and

181181

lb.

The probability is approximately

150150.

(Round to four decimal places as needed.)

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