5. The heights of American women are normally distributed with mean ? = 65 inches and with standard deviation ? = 4 inches. (a) What is the probability that a randomly selected woman has a height less than 58 inches? (b) What is the probability that a randomly selected woman has a height greater than 74 inches? (c) What is the probability that a randomly selected woman has a height between 60 inches and 68 inches? (d) Determine the height such that only 10% of the women will be this tall or taller. (e) Determine the height such that only 35% of the women will be this tall or less.
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