The height of women in the United States is normally distributed with mean 64.5 inches and standard deviation 2 inches, while the height of men is normally distributed with mean 70 inches and standard deviation 1.5 inches. (a) What is the probability that a randomly selected women is between 64 and 68 inches tall? (b) What is the probability that average height of 9 randomly chosen women exceeds 66 inches? (c) If we randomly choose 2 men and 2 women, what is the probability that their average height exceeds 70 inches?

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