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c. Find the 73rd percentile for this distribution. S (Round to the nearest dollar.)

c. Find the 73rd percentile for this distribution. S (Round to the nearest dollar.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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need part c solution, please

**Understanding College Tuition Costs: A Statistical Perspective** 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. All answers should be rounded to four decimal places where possible. ### a. Distribution of College Costs The distribution of \( X \) can be expressed as: \[ X \sim N(\_\_\_\_\_\_, \_\_\_\_\_\_) \] ### b. Probability Calculation Find the probability that a randomly selected private nonprofit four-year college will cost less than $27,870 per year. ### c. 73rd Percentile Calculation Find the 73rd percentile for this distribution. (Round to the nearest dollar.) The calculations involve understanding the properties of normal distribution and applying statistical techniques to derive probabilities and percentiles.
Transcribed Image Text:**Understanding College Tuition Costs: A Statistical Perspective** 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. All answers should be rounded to four decimal places where possible. ### a. Distribution of College Costs The distribution of \( X \) can be expressed as: \[ X \sim N(\_\_\_\_\_\_, \_\_\_\_\_\_) \] ### b. Probability Calculation Find the probability that a randomly selected private nonprofit four-year college will cost less than $27,870 per year. ### c. 73rd Percentile Calculation Find the 73rd percentile for this distribution. (Round to the nearest dollar.) The calculations involve understanding the properties of normal distribution and applying statistical techniques to derive probabilities and percentiles.
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