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Chapter 5: Q. 104. (page 337)

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鈥檛 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|FC) = 0.40

c. P(F|AC) = 0.40

d. P(AC|F) = 0.40

e. P(A|F) = 0.40

Short Answer

Expert verified

The required answer is:

P(A鈭�F)=0.40

Step by step solution

01

Given information

40%of the people with food poisoning are going to a cocktail party

Let,F= has Food Poisoning andA= Attended party

02

Calculation

According to the given statement, there is a 40%chance that a person has good poisoning and attended the party.

Or equivalently: Given F,there is a 40%probability that A occurs.

After the vertical line, the "given" event must be given, and the other event must be mentioned before the vertical line. As a result, the conditional probability can be expressed as:

P(A鈭�F)=40%=0.40

It is observed that the correct option is(e)

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