f. Find the IQR for the average of 7 cities. Q1 = ppm Q3 ppm IQR: ppm

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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I need help with the last qiestion, please and an explanation of how to solve it on TI84 calculator if possible. Thank you.

The amount of pollutants that are found in waterways near large cities is normally distributed with mean
9.2 ppm and standard deviation 1.6 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( 9.2
b. What is the distribution of ? x - N 9.2
0.6047
c. What is the probability that one randomly selected city's waterway will have less than 9.2 ppm
pollutants? 0.5000
d. For the 7 cities, find the probability that the average amount of pollutants is less than 9.2 ppm.
0.5000
1.6
e. For part d), is the assumption that the distribution is normal necessary? Yes No or
f. Find the IQR for the average of 7 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 9.2 ppm and standard deviation 1.6 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( 9.2 b. What is the distribution of ? x - N 9.2 0.6047 c. What is the probability that one randomly selected city's waterway will have less than 9.2 ppm pollutants? 0.5000 d. For the 7 cities, find the probability that the average amount of pollutants is less than 9.2 ppm. 0.5000 1.6 e. For part d), is the assumption that the distribution is normal necessary? Yes No or f. Find the IQR for the average of 7 cities. Q1 = ppm Q3 = ppm IQR: ppm
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