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The average height of a female in the United States is 63.7 inches with a standard deviation of 2.7 inches. Assume that the population is normally distributed and an American female is randomly selected.

A. What is the probability that she is taller than 6 feet?

B. What is the probability that she is between 4 feet and 5 feet?

C. What height would correspond to a Z score of 2.5?

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