An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 138 b and a standard deviation of 32.6 lb. Click here to view page 1 of the standard nommal distribution. Click here to view page 2 of the standard nommal distribution. a. If a pilot is randomly selected, find the probability that his weight is between 130 lb and 181 lb. The probability is approximately 0.5053 - (Round to four decimal places as needed.) b. If 38 different pilots are randomly selected, find the probability that their mean weight is between 130 lb and 181 Ib. The probability is approximately (Round to four decimal places as needed.)

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Q: What are the steps to solving this problem?

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Q: how about part D, how to solve that?

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Q: not using excel can this problem be solved?

A: The mean is $31,000, standard deviation is $3000.

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