Question

Assume one individual from the group is randomly selected. Find the probability of getting someone who tests negative​, given that he or she had the disease. the probability is approximately?

Answer 1

`P(Negative | Yes) = 0.0486`

Explanation:

Given

`\begin{array}{ccc}{} & {Yes} & {No} & {Positive} & {137} & {24} & {Negative} & {7} & {132} \ \end{array}`

Required

`P(Negative | Yes)`

This is calculated as:

`P(Negative | Yes) = (n(Negative\ n\ Yes))/(n(Yes))`

So, we have:

`P(Negative | Yes) = (7)/(137+7)`

`P(Negative | Yes) = (7)/(144)`

`P(Negative | Yes) = 0.0486`