Question

A math teacher recorded the color of students'eyes and hair. This two-way frequency tableshows the results of that survey.Of the students who have brown hair, whatproportion of students have brown eyes?A. 0.25B. 0.30C. 0.50D. 0.75

Answer 1

The proportion of students having brown eyes, given that they had brown hair is 0.75

From what we have in the question, we want to calculate the proportion of students who have brown eyes, given that they have brown hair

To calculate this, we will be using the baye's probability approach

Let the event that a student has a brown hair be B and the event that a student has a brwon eyes be A

We have it that;

`\begin{gathered} P(A|B)\text{ = }(P(AnB))/(P(B)) \\ =\text{ }(30)/(40)=\text{ 0.75} \end{gathered}`