7.117 The Wall Street Journal (February 15, 1972) reported that General Electric was sued in Texas for sex discrimination over a minimum height requirement of 5 ft. 7 in. The suit claimed that this restriction eliminated more than 94% of adult females from consideration.

Let x represent the height of a randomly selected adult woman. Suppose that x is approximately normally distributed with mean 66 inches (5 ft. 6 in.) and standard deviation 2 inches.

a. Is the claim that 94% of all women are shorter than 5 ft. 7 in. correct?

b. What proportion of adult women would be excluded from employment as a result of the height restriction?