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 ? 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

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