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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?

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MrRoyal

Answer:

[tex]P(Negative | Yes) = 0.0486[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{ccc}{} & {Yes} & {No} & {Positive} & {137} & {24} & {Negative} & {7} & {132} \ \end{array}[/tex]

Required

[tex]P(Negative | Yes)[/tex]

This is calculated as:

[tex]P(Negative | Yes) = \frac{n(Negative\ n\ Yes)}{n(Yes)}[/tex]

So, we have:

[tex]P(Negative | Yes) = \frac{7}{137+7}[/tex]

[tex]P(Negative | Yes) = \frac{7}{144}[/tex]

[tex]P(Negative | Yes) = 0.0486[/tex]

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