The conditional relative frequency table was generated using data that compares the number of voters in the last election and whether or not they worked on election day. Fifty people who voted and 85 people who did not vote were chosen at random and surveyed. A 4-column table with 3 rows. The first column has no label with entries did work, did not work, total. The second column is labeled did vote with entries 0. 64, 0. 36, 1. 0. The third column is labeled did not vote with entries 0. 4, 0. 6, 1. 0. The fourth column is labeled total with entries 0. 49, 0. 51, 1. 0. How many people in the survey worked on election day? 32 34 66 69.

Respuesta :

The number of people in the survey who worked on election day is 66.

Given that

The conditional relative frequency table was generated using data that compares the number of voters in the last election and whether or not they worked on election day.

Fifty people who voted and 85 people who did not vote were chosen at random and surveyed.

A 4-column table with 3 rows.

The second column is labeled did vote with entries 0. 64, 0. 36, 1. 0.

The third column is labeled did not vote with entries 0. 4, 0. 6, 1. 0.

The fourth column is labeled total with entries 0. 49, 0. 51, 1. 0.

We have to determine

How many people in the survey worked on election day?

According to the question

The probability of the person who did vote and work on election day= was 0.64.

If the total number of the person voted = 50

Then,

The number of the person who did vote and work on election day is,

[tex]= 0.64 \times 50\\ \\ =32[/tex]

The probability of the person who did not vote but did work on election day was 0.4

If the total number of people did not vote= 85

Then,

The number of the person who did vote but did work on election day is,

[tex]= 0.4 \times 85\\ \\ =34[/tex]

Therefore,

The number of people in the survey worked on election day = The number of the person who did vote and work on election day + The number of the person who did vote but did work on election day.

The number of people in the survey worked on election day = 32 + 34

The number of people in the survey worked on election day = 66

Hence, The number of people in the survey who worked on election day is 66.

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