The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9 ppm and standard deviation 1.7 ppm. 7 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 9 ✓1.7 OF b. What is the distribution of a? N(9 ✓ 0.6425 03 0 c. What is the probability that one randomly selected city's waterway will have less than 9.3 ppm pollutants? d. For the 7 cities, find the probability that the average amount of pollutants is less than 9.3 ppm. e. For part d), is the assumption that the distribution is normal necessary? Yes No o f. Find the IQR for the average of 7 cities. Q1 = ppm Q3= ppm IOR: ppm

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question
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The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9
ppm
and standard deviation 1.7 ppm. 7 randomly selected large cities are studied. Round all answers to 4
decimal places where possible.
a. What is the distribution of X? X - N( 9
1.7
0
b. What is the distribution of a? - N(9
✓0.6425
0 03
c. What is the probability that one randomly selected city's waterway will have less than 9.3 ppm
pollutants?
d. For the 7 cities, find the probability that the average amount of pollutants is less than 9.3 ppm.
e. For part d), is the assumption that the distribution is normal necessary? Yes No o
f. Find the IQR for the average of 7 cities.
Q1 =
ppm
Q3=
ppm
IQR:
ppm
Hint:
Hint
Transcribed Image Text:The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9 ppm and standard deviation 1.7 ppm. 7 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 9 1.7 0 b. What is the distribution of a? - N(9 ✓0.6425 0 03 c. What is the probability that one randomly selected city's waterway will have less than 9.3 ppm pollutants? d. For the 7 cities, find the probability that the average amount of pollutants is less than 9.3 ppm. e. For part d), is the assumption that the distribution is normal necessary? Yes No o f. Find the IQR for the average of 7 cities. Q1 = ppm Q3= ppm IQR: ppm Hint: Hint
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