Answer:
[tex]Pr = 62.5\%[/tex]
Step-by-step explanation:
Given
See attachment for table
Required
Probability that the selected employee uses drug, if the test is positive
From the attached table,
[tex]n(Positive) = 32[/tex] --- Positive for drug
[tex]n(Positive\ and\ Uses\ Drugs) = 20[/tex]
So, the required probability is calculated using:
[tex]Pr = \frac{n(Positive\ and\ Uses\ Drugs)}{n(Positive)}[/tex]
[tex]Pr = \frac{20}{32}[/tex]
[tex]Pr = 0.625[/tex]
Express as percentage
[tex]Pr = 0.625 * 100\%[/tex]
[tex]Pr = 62.5\%[/tex]