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Mathematics, 09.11.2020 16:30 ghostshadow1

The heights of women in the USA are normally distributed with a mean of 64 inches and a standard deviation of 3 inches. Required:
a. A random sample of six women is selected. What is the probability that the sample mean is greater than 63 inches?
b. What is the probability that a randomly selected woman is taller than 66 inches?
c. What is the probability that the mean height of a random sample of 100 women is greater than 66 inches?

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