A group of children and adults were polled about whether they watch a particular TV show. The survey results, showing the joint relative frequencies a

Elleanor Mckenzie

Elleanor Mckenzie

Answered question

2021-05-13

A group of children and adults were polled about whether they watch a particular TV show. The survey results, showing the joint relative frequencies and marginal relative frequencies, are shown in the two-way table.

YesNoTotalChildren0.30.40.7Adults0.25x0.3Total0.550.451

What is the value of x?

Answer & Explanation

Tasneem Almond

Tasneem Almond

Skilled2021-05-14Added 91 answers

We have: 
Yes No Total 
Children 0.3 0.4 0.7 
Adults 0.25 x 0.3 
Total 0.55 0.45 1 
We observe that x is listed in the column "No" and the row "Adults."
Then, by deducting the known value in the column from the column total, we may determine the value of x. (of subtracticg the row total by the known value in the row).
Let us consider the column "No". We note that the column total is 0.45 (given at the bottom of the column), while the other known value in the table is 0.4 
x=0.45-0.4=0.05

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