1. The number of people who show up to New York Yankees games can be approximated as a Normal distribution, with an average of 34,000, and a standard deviation of 4,000.
A) What is the probability that more than 40,000 people will come to any one specific game?
B) What is the probability that less than 30,000 people will come to any one specific game?
C) What is the probability that between 33,000 and 37,000 will be at any one specific game?
2. Suppose the average height of American adult males is 5 feet 10 inches (70 inches) and the standard deviation is 3 inches. If I randomly sample 100 men:
A) What will the expected value of the average height of that sample be? (i.e. the mean of the sampling distribution)
B) What will the standard deviation of the average height in that sample be? (i.e. the standard deviation of the sampling distribution)
C) How big of a sample would we need to have a standard deviation of 0.1 inches?