The mean tuition cost at state universities throughout the United States is $4260 per year. Use this value as the population mean and assume that the population standard deviation is σ = $900. Suppose that a random sample of 50 state universities will be selected.
a) What is the probability that the simple random sample will provide a sample mean within $250 of the population mean?
b) What is the probability that the simple random sample will provide a sample mean within $100 of the population mean?