Private nonprofit four-year colleges charge, on average, $27,880 per year in tuition and fees. The standard deviation is $7,500. 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? XN( 27,880 7,500 c. Find the 79th percentile for this distribution. $ or or b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 24,393 per year. (Round to the nearest dollar.)

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Private nonprofit four-year colleges charge, on average, $27,880 per year in tuition and fees. The standard
deviation is $7,500. 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( 27,880
7,500
c. Find the 79th percentile for this distribution. $
بھی می
b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than
24,393 per year.
(Round to the nearest dollar.)
Transcribed Image Text:Private nonprofit four-year colleges charge, on average, $27,880 per year in tuition and fees. The standard deviation is $7,500. 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( 27,880 7,500 c. Find the 79th percentile for this distribution. $ بھی می b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 24,393 per year. (Round to the nearest dollar.)
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