After deducting grants based on need, the average cost to attend the University of Southern California is $27,175. Assume the population standard deviation is $7400. Suppose that a random sample of 60 USC students will be taken from this population.
b. What is the probability that the sample mean will be more than $27,175?
c. What is the probability that the sample mean will be within $1000 of the population mean?
d. How would the probability in part (c) change if the sample size were increased to 100?