In a clinical trial of a drug used to help subjects stop smoking, 821 subjects were treated with 1 mg doses of Chantix. That group consisted of 30 subjects who experienced nausea (based on data from Pfizer, Inc.). The probability of nausea for subjects not receiving the treatment was 0.0124.

a. Assuming that Chantix has no effect, so that the probability of nausea was 0.0124, find the mean and standard deviation for the numbers of people in groups of 821 that can be expected to experience nausea.

b. Based on the result from part (a), is it unusual to find that among 821 people, there are 30 who experience nausea? Why or why not?

c. Based on the preceding results, does nausea appear to be an adverse reaction that should be of concern to those who use Chantix?