Question

Lucy is in charge of planning a reception for 2400 people. She is trying to decide which snacks to buy. She has asked a random sample of people who are coming to the reception what their favorite snack is. Here are the results.
Favorite Snack Number of People
Brownies 29
Cookies 27
Chips 61
Other 63
Based 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 whole number.

Answer 1

Answer:

360 people.

Step-by-step explanation:

Given the sample as:

• Brownies 29
• Cookies 27
• Chips 61
• Other 63

#Find the probability of a person eating cookies:

$P(cookies)=\frac{No \ of \ cookies \ People}{No \ of people \ in \ sample}\\\\=\frac{27}{29+27+61+63}\\\\=0.15$

#To find the number of cookie people in the population, we multiply the population size by the probability of having a cookie:

$P_c=np, n=2400, p=0.15\\\\=2400\times 0.15\\\\=360$

Hence, cookies is a favorite of 360 people.