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Heights of adult women in the United States are normally distributed with a mean of 65.8 in and a standard deviation of 2.3 in.

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Heights of adult women in the United States are normally distributed with a mean of 65.8 in and a standard deviation of 2.3 in. (a) What is the probability that a randomly selected adult woman in the United States has a height of more than 68.8 in? Round your answer to 4 decimal places. Make sure that your answer is a probability, not a percentage. (b) What is the 95th percentile of heights of adult women in the United States? Round your answer to 2 decimal places. in (c) What is the probability that a random sample of 108 adult women in the United States has a mean height of less than 66 in? Round your answer to 4 decimal places. Make sure that your answer is a probability, not a percentage.

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