Question

Dreve WOSExpected ValveMar 08, 1:24:47 PMScarlett volunteers on the weekend at the Central Library. As a school project, shedecides to record how many people visit the library, and where they go. On Saturday,429 people went to The Youth Wing, 382 people went to Social Issues, and 424 wentto Fiction and Literature.On Sunday, the library had 1100 total visitors. Based on what Scarlett had recordedon Saturday, about how many people should be expected to go to The Youth Wing?Round your answer to the nearest whole number.Answer:Submit Answerattempt 1 out of 2

Answer 1

Using empirical probability.

On Saturday, a total of 429+382+424=1235 people visited the library. Then, the empirical probability of a person going to the Youth Wing section is

`P(YW)=(429)/(1235)=(33)/(95)`

Then, if on Sunday the library had 1100 visitors,

`\begin{gathered} P_{\text{sunday}}(YW)=1100((33)/(95))=(7260)/(19)=382.105\ldots \\ \Rightarrow P_{\text{sunday}}(YW)\approx382 \end{gathered}`

The answer is 382 people.