Yolanda wanted to see if there was a connection between red hair and green eyes. She observed people walking past her on the street and noted their hair and eye color.

Red Hair
Green eyes: 18
Eye color other than green: 29

Hair Color Other Than Red
Green eyes: 114
Eye color other than green: 650

Consider the relative frequency table.

To the nearest whole percent, what is the value of x in the table?

A) x = 14%

B) x = 15%

C) x = 16%

D) x = 18%

[tex]\begin{array}{cccc}&\text{Green eyes}&\text{Other eye color}&\text{Total}\\\text{Red hair}&18&29&47\\\text{Other hair color}&114&650&764\\\text{Total}&132&679&811\end{array}[/tex]

Find the probabilities:

[tex]\begin{array}{cccc}&\text{Green eyes}&\text{Other eye color}&\text{Total}\\\text{Red hair}&\dfrac{18}{811}&\dfrac{29}{811}&\dfrac{47}{811}\\ \\\text{Other hair color}&\dfrac{114}{811}&\dfrac{650}{811}&\dfrac{764}{811}\\ \\\text{Total}&\dfrac{132}{811}&\dfrac{679}{811}&\dfrac{811}{811}\end{array}[/tex]

Instead of x should be

[tex]\dfrac{114}{811}\approx 0.14=14\%.[/tex]

sohail09753 sohail09753 · Answer 2 · 2021-12-22T13:34:46+01:00

The probability is the chance or the likelihood of the event to happen or not to occur amongst various other events. It is a mathematical-statistical tool that measures the randomness of the occurrence of the event.

The value of x in the table is 114, while its whole percentage value is 14%.

The relative frequency table is attached in the image below.

From the frequency table the total frequency value and the combined value person having green eyes with other hair colors.

This is taken to determine the percentage value of x.

[tex]\text{Percentage of x}=\dfrac{\text{Combined value}}{\text{Total value}}\\\\=\dfrac{114}{811}\\\\=0.140\;\text{or}\;14\%[/tex]

To know more about probability, refer to the link:

https://brainly.com/question/795909