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The heights of men in the USA are normally distributed with a mean of 68 inches and a standard deviation of 4 inches. a) What is the probability that a randomly selected man is taller than 70 inches? b) A random sample of 5 men is selected. What is the probability that the sample mean is greater than 70 inches? c) A random sample of 25 men is selected. What is the probability that the sample mean is greater than 70 inches?

The heights of men in the USA are normally distributed with a mean of 68 inches and a standard deviation of 4 inches.

a)      What is the probability that a randomly selected man is taller than 70 inches?

b)      A random sample of 5 men is selected. What is the probability that the sample mean is greater than 70 inches?

c)      A random sample of 25 men is selected. What is the probability that the sample mean is greater than 70 inches?

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