Question

.   An outbreak of food poisoning occurs in a group of adults

   who attended a lunch party. The following table contains

   summary data.

                              

              Status         ill           not ill

          Ate fish              25              14            

    

          Did not eat fish      15              46          

           _________________________________________

          Total               40              60

Find the following probability values:

4%

1. the probability that an adult becomes ill after eating

     fish.

          TYPE YOUR ANSWER HERE: ____

4%

2. the probability that an adult becomes ill if no fish is

eaten.

TYPE YOUR ANSWER HERE: ____

Answer 1

Status	Ill	Not Ill	Total
Ate Fish	25	14	39
Did not ate fish	15	46	61
Total	40	60	100

a) the probability that an adult becomes ill after eating

probability that an adult becomes ill after eating = number of adult becomes ill and ate fish / total adults who ate fish

probability that an adult becomes ill after eating = 25/39

probability that an adult becomes ill after eating = 0.6410

b) The probability that an adult becomes ill if no fish is eaten = number of adult becomes ill and did not ate fish / total adults who did not ate fish

The probability that an adult becomes ill if no fish is eaten = 15/61

The probability that an adult becomes ill if no fish is eaten = 0.2459