Question 1 Private nonprofit four-year colleges charge, on average, $26,955 per year in tuition and fees. The standard deviation is $6,888. 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 22,527 per year. c. Find the 69th percentile for this distribution. S (Round to the nearest dollar.) Hint: Helpful videos: " Find a Probability G [+] . Finding a Value Given a Probability #