In an effort to find the source of an outbreak of food poisoning at a conference, a team of medical detectives carried out a study. They examined all 50 people who had food poisoning and a random sample of 200 people attending the conference who didn’t get food poisoning. The detectives found that 40% of the people with food poisoning went to a cocktail party on the second night of the conference, while only 10% of the people in the random sample attended the same party. Which of the following statements is appropriate for describing the 40% of people who went to the party? (Let F = got food poisoning and A = attended party.)

a. P(F|A) = 0.40

b. P(A|F^C) = 0.40

c. P(F|A^C) = 0.40

d. P(A^C|F) = 0.40

e. P(A|F) = 0.40

Select the best answer.