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

lb and

181

lb. Weights of women are now normally distributed with a mean of

174lb

and a standard deviation of

46lb.

Complete parts (a) through (c) below.

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Part 1

a. If 1 woman is randomly selected, find the probability that her weight is between

140

lb and

181

lb.