Question

Drevae WashingtonExpected ValueMar 08, 1:24:47 PM?Scarlett 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 2RIDeltaMath - Googl.W April Spirit WeekResume from vae..

Answer 1

Given the question in the question tab, the following are the solution steps to answer the question.

STEP 1: Get the total number of visitors on saturday

`382+429+424=1235`

STEP 2: Get the proportion/probability of the people who went to the Youth Wing on Saturday

`\begin{gathered} \Rightarrow\frac{\text{number of Youth Wing}}{\text{Total number of visitors}} \\ \Rightarrow(429)/(1235)=0.347368421 \end{gathered}`

STEP 3: Get the expected number of people to visit the Youth Wing on Sunday

`\begin{gathered} \text{Expected value}=\text{proportion}* total\text{ number of visitors on Sunday} \\ \text{Expected Value=}0.347368421*1100=382.1052632 \\ \text{Expected Value of people from Youth Wing }\approx382 \end{gathered}`

Hence, the expected number of people to visit the Youth Wing on Sunday is approximately 382 people