The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9 ppm and standard deviation 1.3 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 less than 8.6 ppm pollutants? d. For the 36 cities, find the probability that the average amount of pollutants is less than 8.6 ppm. e. For part d), is the assumption that the distribution is normal necessary? O YesO No

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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 1.3 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 x? a - N(
c. What is the probability that one randomly selected
city's waterway will have less than 8.6 ppm pollutants?
d. For the 36 cities, find the probability that the average
amount of pollutants is less than 8.6 ppm.
e. For part d), is the assumption that the distribution is
normal necessary? O YesO No
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 1.3 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 x? a - N( c. What is the probability that one randomly selected city's waterway will have less than 8.6 ppm pollutants? d. For the 36 cities, find the probability that the average amount of pollutants is less than 8.6 ppm. e. For part d), is the assumption that the distribution is normal necessary? O YesO No
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