n 2017 a pollution index was calculated for a sample of cities in the eastern states using data on air and water pollution. Assume the distribution of pollution indices is unimodal and symmetric. The mean of the distribution was 43.9 points with a standard deviation of 11.3 points. Complete parts(a) through(c) below.

a. What percentage of eastern cities would you expect to have a pollution index between 21.3 and 66.5 points?

% (Type a wholenumber.)

b. What percentage of eastern cities would you expect to have a pollution index between 32.6 and 55.2 points?

% (Type a wholenumber.)

c. The pollution index for an easterncity, in2017, was 53.9 points. Based on thisdistribution, was this unusuallyhigh? Explain.

A.

Yes, because 53.9 falls within two standard deviations of themean, so it is therefore an unusually high pollution index.

B.

Yes, because 53.9 falls within three standard deviations of themean, so it is therefore an unusually high pollution index.

C.

No, because 53.9 falls within two standard deviations away from themean, and it is therefore not an unusually high pollution index.

D.

No, because 53.9 falls exactly two standard deviations away from themean, and it is therefore not an unusually high pollution index.