Private nonprofit four-year colleges charge, on average, $27,105 per year in tuition and fees. The standard deviation is $6,808. 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 27,870 per year. c. Find the 73rd percentile for this distribution. $ (Round to the nearest dollar.)

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Private nonprofit four-year colleges charge, on average, $27,105 per year in tuition and fees. The standard
deviation is $6,808. 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
27,870 per year.
c. Find the 73rd percentile for this distribution. $
(Round to the nearest dollar.)
Transcribed Image Text:Private nonprofit four-year colleges charge, on average, $27,105 per year in tuition and fees. The standard deviation is $6,808. 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 27,870 per year. c. Find the 73rd percentile for this distribution. $ (Round to the nearest dollar.)
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