The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.2 ppm and standard deviation 1.? ppm. 33 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ NtI II I} . ..I] c. What is the probability that one randomly selected city's x-iiatenaraisr will have less r b. What is the distribution of 5:? .1.\" ~ N{I than 9 ppm pollutants? I I d. For the 38 cities, find the probability that the average amount of pollutants is less than 9 ppm. I I e. For part d}, is the assumption that the distribution is normal necessary? '33::3'Yes'3ZZZ3' Ne f. Find the IQR for the agerage of 38 cities. Q1 = I I ppm e=i ippm IQR: I I ppm