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Private nonprofit four-year colleges charge, on average, $26,047 per year in tuition and fees. The standard deviation is $6,802. 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 30,536 per year. c. Find the 80th percentile for this distribution. $ (Round to the nearest dollar.)

Private nonprofit four-year colleges charge, on average, $26,047 per year in tuition and fees. The standard deviation is $6,802. 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 30,536 per year. c. Find the 80th percentile for this distribution. $ (Round to the nearest dollar.)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Private nonprofit four-year colleges charge, on average, $26,047 per year in tuition and fees. The standard deviation is $6,802. 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 30,536 per year. c. Find the 80th percentile for this distribution. $ (Round to the nearest dollar.)
Transcribed Image Text:Private nonprofit four-year colleges charge, on average, $26,047 per year in tuition and fees. The standard deviation is $6,802. 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 30,536 per year. c. Find the 80th percentile for this distribution. $ (Round to the nearest dollar.)
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