Private nonprofit four-year colleges charge, on average, $26,796 per year in tuition and fees. The standard deviation is $6,782. 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( 26796 6782 b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 31,080 per year. Enter an integer or decimal number, accurate to at least 4 decimnal places [more..] c. Find the 75th percentile for this distribution. $ (Round to the nearest dollar.)

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Private nonprofit four-year colleges charge, on average, $26,796 per year in tuition and fees. The standard
deviation is $6,782. 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( 26796
6782
b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than
31,080 per year.
Enter an integer or decimal number, accurate to at least 4 decimnal places [more..]
c. Find the 75th percentile for this distribution. $
(Round to the nearest dollar.)
Transcribed Image Text:Private nonprofit four-year colleges charge, on average, $26,796 per year in tuition and fees. The standard deviation is $6,782. 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( 26796 6782 b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 31,080 per year. Enter an integer or decimal number, accurate to at least 4 decimnal places [more..] c. Find the 75th percentile for this distribution. $ (Round to the nearest dollar.)
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