Jim tree wants to analyze another shipment of trees based on height. he knows the height of the trees is normally distributed so he can use the standard normal distribution. he measures the height of 500 randomly selected trees in his shipment. next, he calculates the mean and standard deviation of their heights. the mean is 60 inches and the standard deviation is 12 inches. now, jim uses the normal distribution table above to calculate the number of trees in each segment of the distribution.

standard deviation percentage from table number of trees out of 500
-1 to 0 (48 to 60 inches) 34.1%
0 to +1 (60 to inches) % 171
+1 to +2 (72 to 84 inches) %

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An engineer is going to redesign an ejection seat for an airplane. the seat was designed for pilots weighing between 120 lb and 161 lb. the new population of pilots has normally distributed weights with a mean of 125 lb and a standard deviation of 28.1 lb. a)if a pilot is randomly selected, find the probability that his weight is between 120 lb and 161 lb.the probability is approximately? b. if 36 different pilots are randomly selected, find the probability that their mean weight is between 120 lb and 161 lb. the probability is approximately? c. when redesigning the ejection seat, which probability is more relevant? . part (b) because the seat performance for a single pilot is more important. b. part (b) because the seat performance for a sample of pilots is more important. c. part (a) because the seat performance for a sample of pilots is more important. d. part (a) because the seat performance for a single pilot is more important.