Norris Dunn

06/11/2023 · Junior High School

Question 10 of 10 point(s) possible This question: 1 point(s) possible Submit test 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 \( 140 \mathrm{lb} \) and \( 191 \mathrm{lb} \). Weights of women are now normally distributed with a mean of \( 169 \mathrm{lb} \) and a standard deviation of \( 38 \mathrm{lb} \). Complete parts (a) through (c) below. a. If 1 woman is randomly selected, find the probability that her weight is between \( 140 \mathrm{lb} \) and \( 191 \mathrm{lb} \). The probability is approximately \( \square \). (Round to four decimal places as needed.) b. If 35 different women are randomly selected, find the probability that their mean weight is between 140 \( \mathrm{lb} \) and \( 191 \mathrm{lb} \). The probability is approximately \( \square \). (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? A. The part (a) probability is more relevant because the seat performance for a sample of pilots is more important. B. The part (b) 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 single pilot is more important. D. The part (a) probability is more relevant because the seat performance for a single pilot is more important.