Chapter 5.3, Problem 104E

To determine

To find: the appropriate statement for describing the 40% of people who went to the party.

Answer to Problem 104E

  $P\left(A|F\right)=0.40$

Explanation of Solution

Given:

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

  $\text{suppose }F\text{=has Food Poisoning and }A\text{= Attended party}$

Calculation:

On the basis of given statement means that a person has good poisoning, there is a 40% that this person attended the party.

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

The “given” event requires to be given after the vertical line and the other event has to be mentioned before the vertical line. Therefore it can then show the conditional probability as:

  $P\left(A|F\right)=40\%=0.40$

It is observed that, the correct option is (e)