An engineer is going to redesign an ejection seat for the airplane. The seat was designed for pilots weighing between 150 and 191 pounds. The new population of pilots has normally distributed weights with a mean of 158 pounds and a standard deviation or 31.1 pounds.  a. If a pilot is randomly selected, find the probability that his weight is between 150 lb and 191 lb.  b. If 38 pilots are randomly selected, find the probability that their mean weight is between 150 lb and 191 lb. what is the approximate probability? c. When redesigning the ejection seat, which probability is more relevant? part b because the seat performance for a single pilot is more important

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An engineer is going to redesign an ejection seat for the airplane. The seat was designed for pilots weighing between 150 and 191 pounds. The new population of pilots has normally distributed weights with a mean of 158 pounds and a standard deviation or 31.1 pounds. 
a. If a pilot is randomly selected, find the probability that his weight is between 150 lb and 191 lb. 

b. If 38 pilots are randomly selected, find the probability that their mean weight is between 150 lb and 191 lb. what is the approximate probability?

c. When redesigning the ejection seat, which probability is more relevant?

part b because the seat performance for a single pilot is more important

part b because the seat performance for a sample of pilots is more important

Part a because the seat performance for a single pilot is more important 

part a because the seat performance for a sample of pilots is more important. 

please show solving steps and if possible tell me how to also get these answers through excel functions. 

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