Question

Chicken, hot dogs, and hamburgers were served during a recent barbecue. The host assumed that there would be no difference between what the women chose to eat and what the men chose to eat. He obtained the following data

Chicken Hot Dogs Hamburgers Total
Women 7 3 4 14
Men 4 5 6 15
Total 11 8 10 29

Find the expected value ( E2,3 ) of a man choosing a hamburger. Round to 4 decimal places.

Answer 1

5.1724

Explanation:

Chicken, hot dogs and hamburgers are served in a barbecue.

The host assumed that there would be n difference between what a women and men chose to eat.

Chickens Hot dogs Ham burgers Total

Women 7 3 4 14

Men 4 5 6 15

Total 11 8 10 29

Therefore, the expected value (
`E_(2,3)` of a man choosing a hamburger is

( 10 x 15 ) / 29

=5.1724