An engineer is going to redesign an ejection seat from an airplane. The seat was designed for pilots weighing between 150lb and 201lb. The new population of pilots has normally distributed weights with a mean of 156lb and a standard deviation of 33.7lb.

If a pilot is randomly selected, find the probability that his weight is between 150lb and 201lb

2. Assume that women’s heights are normally distributed with a mean given by, µ = 62.1 in, and a standard deviation given by Ō = 2.8 in,.

a. If 1 woman is randomly selected, find the probability that her heights is less than 63 in,

b. If 33 women are randomly selected, find the probability that they have a mean heights less than 63 in, (a) The probability is approximately what?

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