Private nonprofit four-year colleges charge, on average, $27,761 per year in tuition and fees. The standard deviation is $6,700. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. 6,700 a. What is the distribution of X? X-N27,761 b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 23,098 per year. 0.2420 x 0 0 c. Find the 73rd percentile for this distribution. $ 31982. x (Round to the nearest dollar.)

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