Private nonprofit four-year colleges charge, on average, $27,915 per year in tuition and fees. Thestandard deviation is $7,105. Assume the distribution is normal. Let X be the cost for a randomlyselected 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 than25,000 per year.c. Find the 63rd percentile for this distribution. $(Round to the nearest dollar.)

It is given that the distribution is normal. The mean is $27,915 and the standard deviation is…

Answered: Private nonprofit four-year colleges…

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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Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 38 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives at least 141 miles in a day. Round your answer to four decimal places.
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Private nonprofit four-year colleges charge, on average, $26,375 per year in tuition and fees. The standard deviation is $6,685. 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 24,855 per year. c. Find the 80th percentile for this distribution. $ (Round to the nearest dollar.)
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 71 miles per hour, with a standard deviation of 5 miles per hour. Estimate the percent of vehicles whose speeds are between 61 miles per hour and 81 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately ________ % of vehicles travel between 61 miles per hour and 81 miles per hour.
Private nonprofit four-year colleges charge, on average, $26,168 per year in tuition and fees. The standard deviation is $6,656. 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 24,347 per year. c. Find the 74th percentile for this distribution. $ (Round to the nearest dollar.)

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