Question

Donna is in charge of planning a reception for 1200 people. She is trying to decide which snacks to buy. She has asked a random sample of people who arecoming to the reception what their favorite snack is. Here are the results.Favorite SnackNumber ofPeopleBrownies 42Cookies 27Chips 50Other 61Based on the above sample, predict the number of the people at the reception whose favorite snack will be cookies. Round your answer to the nearest wholenumber. Do not round any intermediate calculations.

Answer 1

We know that

• There are 1200 people.

,

• 27 people have cookies as their favorite snack.

,

• The total number of the sample is 180.

To find the expected value, first, we have to find the probability of cookies.

`P=(27)/(180)=(3)/(20)`

Then, we multiply the probability by the total number of people.

`E=(3)/(20)\cdot1200=180`

Therefore, the number of people at the reception whose favorite snack will be cookies is 180.