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?