A company administers a drug test to its employees. Use
the two-way table to answer the question that follows.
Total
Employee Test Results
Employee Employee
Uses is Drug
Drugs
Free
Test Positive for
20
12
Drug Use
Test Negative for
0
468
Drug Use
Total
20
480
IN
32
468
500
If a test is positive, what is the probability, written
as a percent, that the employee is guilty? If
necessary, round your answer to the nearest
percent.

Question

contestada

Respuesta :

MrRoyal MrRoyal · Answer 1 · 2021-05-18T10:41:31+02:00

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]