In a recent survey, 40 percent indicated chocolate was their favorite flavor of ice cream. Suppose we select a sample of twelve people and ask them to name their favorite flavor of ice cream. a. How many of those in the sample would you expect to name chocolate?

Question

Mathematics

Krista Vang

1 March, 01:46

In a recent survey, 40 percent indicated chocolate was their favorite flavor of ice cream. Suppose we select a sample of twelve people and ask them to name their favorite flavor of ice cream. a. How many of those in the sample would you expect to name chocolate?

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Answers (1)

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Louis Whitehead · Answer 1

4 people name chocolate

Step-by-step explanation:

Let's first understand the given information.

The survey shows that 40 percent of a finite number of people name chocolate as their favorite flavor of ice cream. Because the survey is reporting a percentage, then 40% means that from 100 people 40 people name chocolate, while the others name a different type of flavor.

Dividing the total of people (100) by the ones who name chocolate (40) then we have:

100/40 = 2.5

Through the above equation we are actually expressing the following:

Total people = 2.5 * (people who name chocolate flavor)

Using this equation if we have now 12 people:

12 = 2.5 * (people who name chocolate flavor)

12/2.5 = (people who name chocolate flavor)

4.8 = people who chose chocolate flavor

Because we can't have 0.8 of a person, then if we have a sample of 12 people, we will expect that 4 of them name chocolate.