Blu & Center er deducting grants based on need, the average cost to attend the University of uthern California (USC) is $27,175 (U.S. News & World Report, America's Best leges, 2009 ed.). Assume the population standard deviation is $7400. Suppose that a ndom sample of 60 USC students will be taken from this population a) What is the probability that the sample mean will be more than $27,175? b) What is the probability that the sample mean will be within $1000 of the population mean