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The amount of pollutants that are found in waterways near large cities is normally distributed with mean 10 ppm and standard deviation 1.7 ppm. 37 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( b. What is the distribution of x? ~ NO c. What is the probability that one randomly selected city's waterway will have less than 10.5 ppm pollutants?

The amount of pollutants that are found in waterways near large cities is normally distributed with mean 10 ppm and standard deviation 1.7 ppm. 37 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( b. What is the distribution of x? ~ NO c. What is the probability that one randomly selected city's waterway will have less than 10.5 ppm pollutants?

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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The amount of pollutants that are found in waterways near large cities is normally distributed with mean 10 ppm and standard deviation 1.7 ppm. 37 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - NO b. What is the distribution of x? x ~ NO c. What is the probability that one randomly selected city's waterway will have less than 10.5 ppm pollutants? d. For the 37 cities, find the probability that the average amount of pollutants is less than 10.5 ppm. e. For part d), is the assumption that the distribution is normal necessary? No Yes f. Find the IQR for the average of 37 cities. Q1 = ppm Q3 = ppm IQR: ppm
Transcribed Image Text:The amount of pollutants that are found in waterways near large cities is normally distributed with mean 10 ppm and standard deviation 1.7 ppm. 37 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - NO b. What is the distribution of x? x ~ NO c. What is the probability that one randomly selected city's waterway will have less than 10.5 ppm pollutants? d. For the 37 cities, find the probability that the average amount of pollutants is less than 10.5 ppm. e. For part d), is the assumption that the distribution is normal necessary? No Yes f. Find the IQR for the average of 37 cities. Q1 = ppm Q3 = ppm IQR: ppm
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