### What is the probability that a randomly selected man

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In a murder trial in Los Angeles, a shoe expert stated that the range of heights of men with a size 12 shoe is 71 inches to 76 inches. Suppose the heights of all men wearing size 12 shoes are normally distributed with a mean of 73.5 inches and a standard deviation of 1 inch. What is the probability that a randomly selected man who wears a size 12 shoe:

a. Has a height outside the range 71 inches to 76 inches?

b. Is 74 inches or taller?

c. Is shorter than 70.5 inches?

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