The College Board American College Testing Program reported a population mean SAT score of u = 1020 (The World Almanac 2003). Assume that the population standard deviation is 100.
A. What is the probability that a random sample of 75 students will provide a sample mean SAT score within 10 of the population mean?
B. What is the probability a random sample of 75 students will provide a sample mean SAT score within 20 of the population mean?