. Question 6 v The amount of pollutants that are found in waterways near large cities is normally distributed with mean 10 ppm and standard deviation 1.3 ppm. 12 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 5:? 5E ~ MC],:]} c. What is the probability that one randomly selected city's waterway will have more than 10.9 ppm d. For the 12 cities, find the probability that the average amount of pollutants is more than 10.9 ppm. :1 . For part d), is the assumption that the distribution 15 normal necessary? 0 YesO No . Find the IQR for the average of 12 cities. mm -hm Hint: ' 70F Sunny