Question: (a) The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What is the probability that the height of an 18-year-old man selected at random is between 66 inches and 70 inches?

b) What is the probability that the mean height of a sample of twelve 18-year-old men selected at random is between 66 inches and 70 inches?

c) Which is more likely, randomly selecting- an 18 year old between 66 and 70 or a group of twelve 18 year olds with a mean height between 66 and 70 inches? Why?