Private nonprofit four-year colleges charge, on average, $26,208 per year in tuition and fees. The standard deviation is $7,040. 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(
26208
Correct,
7040
Correct)

b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 22,924 per year.


c. Find the 60th percentile for this distribution. $
(Round to the nearest dollar.)