Please help with D E F The amount of pollutants that are found in waterways near large cities is normally distributed with mean9.4 ppm and standard deviation 1.4 ppm. 6 randomly selected large cities are studied. Round all answers to4 decimal places where possible.a. What is the distribution of X? X - N(b. What is the distribution of x? a - N(c. What is the probability that one randomly selected city's waterway will have more than 8.7 ppmpollutants?d. For the 6 cities, find the probability that the average amount of pollutants is more than 8.7 ppm.e. For part d), is the assumption that the distribution is normal necessary? O YesO Nof. Find the IQR for the average of 6 cities.Q1 =ppmQ3 =ppmIQR:ppm

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Please help with D E F

The amount of pollutants that are found in waterways near large cities is normally distributed with mean
9.4 ppm and standard deviation 1.4 ppm. 6 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? a - N(
c. What is the probability that one randomly selected city's waterway will have more than 8.7 ppm
pollutants?
d. For the 6 cities, find the probability that the average amount of pollutants is more than 8.7 ppm.
e. For part d), is the assumption that the distribution is normal necessary? O YesO No
f. Find the IQR for the average of 6 cities.
Q1 =
ppm
Q3 =
ppm
IQR:
ppm

Expert Solution

Introduction

[NOTE : As per the rules, only the first 3 subparts are solved.]

Given that,

The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.4 ppm and standard deviation 1.4 ppm. Therefore,

$Mean = μ = 9.4 S tandard Deviation = σ = 1.4$

Number of large cities included in the sample is $n$ = 6

Let $X$ denotes the amount of pollutants and are normally distributed.

Calculations

(a) The distribution of $X$ is Normal Distribution with $μ = 9.4$ and $σ = 1.4$ .

that is, $X ~ N (9.4, 1.4)$

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