Private nonprofit four-year colleges charge, on average, $26,423 per year in tuition and fees. The standard deviation is $7,434. 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 23,012 per year.

(Round z-score up to 2 decimal places.)

c. Find the 80th percentile for this distribution. $

(Round to the nearest dollar.)