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The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.5 ppm and standard deviation 1.8 ppm. 36 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 ? N c. What is the probability that one randomly selected city's waterway will have more than 8.8 ppm pollutants?

The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.5 ppm and standard deviation 1.8 ppm. 36 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 ? N c. What is the probability that one randomly selected city's waterway will have more than 8.8 ppm pollutants?

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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The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.5 ppm and standard deviation 1.8 ppm. 36 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 ? ~ N( c. What is the probability that one randomly selected city's waterway will have more than 8.8 ppm pollutants? d. For the 36 cities, find the probability that the average amount of pollutants is more than 8.8 ppm. e. For part d), is the assumption that the distribution is normal necessary? Yes No
Transcribed Image Text:The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.5 ppm and standard deviation 1.8 ppm. 36 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 ? ~ N( c. What is the probability that one randomly selected city's waterway will have more than 8.8 ppm pollutants? d. For the 36 cities, find the probability that the average amount of pollutants is more than 8.8 ppm. e. For part d), is the assumption that the distribution is normal necessary? Yes No
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