The amount of pollutants that are found in waterways near large cities is normally distributed with a mean of 8.9 ppm and a standard deviation of 1.4 ppm. 17 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? x ~ N(__,___)

c. What is the probability that one randomly selected city's waterway will have more than 9.2 ppm pollutants____?

d. For the 17 cities, find the probability that the average amount of pollutants is more than 9.2 ppm._____?

e. For part d), is the assumption that the distribution is normal necessary? NoYes

f. Find the IQR for the average of 17 cities. Q1 = _____ppm Q3 = ____ppm IQR: _____ppm