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A soccer league is organizing teams for their summer league. A survey is randomly given to people in the area asking whether their children will participate in the league. Out of 100 people with children, 7 said their children will participate. How many children can the league expect from 6,000 people with children?
children

A soccer league is organizing teams for their summer league. A survey is randomly given to people in the area asking whether their children will participate in the league. Out of $100$ people with children, $7$ said their children will participate. How many children can the league expect from $6$ , $000$ people with children? $\newline$ children

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Make predictions using experimental probability

Full solution

Q. A soccer league is organizing teams for their summer league. A survey is randomly given to people in the area asking whether their children will participate in the league. Out of

100

people with children,

7

said their children will participate. How many children can the league expect from

6

,

000

people with children?

\newline

children

Determine Proportion: Determine the proportion of children who will participate based on the survey. $\newline$ The survey shows that $7$ out of $100$ children will participate. $\newline$ Proportion of children participating = $\frac{7}{100}$
Estimate Participation: Use the proportion to estimate the number of children who will participate out of $6,000$ . If $7$ out of $100$ children will participate, then to find out how many out of $6,000$ will participate, we multiply the total number of people with children by the proportion of children who will participate. Expected number of children participating = $6,000 \times (7/100)$
Calculate Expected Number: Calculate the expected number of children participating. $\newline$ Expected number of children participating = $6,000 \times (\frac{7}{100}) = 6,000 \times 0.07 = 420$

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