ivate nonprofit four-year colleges charge, on average, $27,231 per year in tuition and fees. The standard deviation is $7,416. 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 31,731 per year.   ? c. Find the 71th percentile for this distribution. $ (Round to the nearest dollar.)      ?

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