Private nonprofit four-year colleges charge, on average, $27,557 per year in tuition and fees. The standard deviation is $6,707. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X - N ( , )
b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 32,293 per year.
c. Find the 65th percentile for this distribution. $...(Round to the nearest dollar.)
