Question

15 people gather for a hot dog eating contest. in the past, eight of these contestants have eaten 37 hot dog during the competition. three at 43, three ate 47 and one ate 49. what is the expected number of hot dogs eaten by a randomly chosen contestant today?

Answer 1

41

Explanation:

Given that 15 people gather for a hot dog eating contest. in the past, eight of these contestants have eaten 37 hot dog during the competition. three at 43, three ate 47 and one ate 49.

From the information given we prepare table as follows

No of hot dogs eaten X Frequency f X*f

37 8 296

43 3 129

47 3 141

49 1 49

Total 15 615

Expected value of X

= Mean value one person can take =
`(615)/(15) \\=41`

the expected number of hot dogs eaten by a randomly chosen contestant today is 41