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

Answer:

$P(Negative | Yes) = 0.0486$

Step-by-step explanation:

Given

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

Required

$P(Negative | Yes)$

This is calculated as:

$P(Negative | Yes) = \frac{n(Negative\ n\ Yes)}{n(Yes)}$

So, we have:

$P(Negative | Yes) = \frac{7}{137+7}$

$P(Negative | Yes) = \frac{7}{144}$

$P(Negative | Yes) = 0.0486$