Mills Chen
04/27/2024 · Primary School

When women were finally allowed to become pilots of fighter jets, engineers needed to redesign the ejection seats because they had been originally designed for men only. The ejection seats were designed for men weighing between 120 lb and 191 lb . Weights of women are now normally distributed with a mean of 170 lb and a standard deviation of 37 lb . Complete parts (a) through (c) below. a. If 1 woman is randomly selected, find the probability that her weight is between 120 lb and 191 lb . The probability is approximately 0.6272 . (Round to four decimal places as needed.) b. If 28 different women are randomly selected, find the probability that their mean weight is between 120 lb and 191 lb. The probability is approximately 0.9987 . (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? A. The part (b) probability is more relevant because the seat performance for a single pilot is more important. B. The part (a). probability is more relevant because the seat performance for a sample of pilots is more important. C. The part (b) probability is more relevant because the seat performance for a sample of pilots is more important. D. The part (a) probability is more relevant because the seat performance for a single pilot is more important.

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a. The probability that a randomly selected woman's weight is between 120 lb and 191 lb is approximately 0.6272. b. The probability that the mean weight of 28 randomly selected women is between 120 lb and 191 lb is approximately 0.9987. c. The part (b) probability is more relevant because the seat performance for a sample of pilots is more important in the redesign of the ejection seat.

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