Monica took a survey of her classmates' hair and eye color. The results are in the table below.
Hair Color
Blonde
Red
Brown
Total
Blue
16
13
4
Eye Color
Brown
2
2
10
Green
3
15
Total
What is the conditional relative frequency that a participant has brown hair, given that he/she has brown eyes.
0.14
ξο Ο Ο Ο
0.5
0.10
0.71

Respuesta :

Answer: 0.5

Step-by-step explanation: it should be but  wait for other answers

The conditional relative frequency that a participant has brown hair, given that he/she has brown eyes is 0.71

Calculations and Parameters

We would solve this using Baye's Theorem:

Let R represent brown hair

Let B represent brown eyes

[tex]P = \frac{R}{B} = P\frac{(RnB)}{P(B)}[/tex]

P(RnB)= 10

P(B)= 2 + 2 + 10 = 14

Therefore

[tex]P(\frac{R}{B} ) = \frac{10}{14}[/tex]

= 0.71

Therefore, the correct answer is option D.

Read more about conditional relative frequency here:

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