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The heights of women in a certain population have the mean of 64.5 inches and a standard deviation 2.5 inches; the population is distributed as

The heights of women in a certain population have the mean of 64.5 inches and a standard deviation 2.5 inches; the population is distributed as N (, )N(0,1). We select three women at random from this population. Assume that their heights are independent. Find the probability that the tallest of these three women will be taller than 67 inches.

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