Question

a blood test is usedt to detemrine whether a person has a disease. 1% of the total population has the disease. if a person has the disease, then the proabbility that the test outcome is positive is .95. if the person does not have the disease then the probability that the test outcome is negatrive is .98. if a person takes the blood test and the outcome is positive, then what is the porobability that the person ahs the disease.

Answer 1

The probability that the person has the disease would be =0.5.

How to calculate the probability of the possible outcome?

To calculate the probability of the possible outcome, the following steps should be taken below;

Formula for probability:

= outcome/sample size

where;

outcome = 0.95

Sample size = 0.95+0.98 = 1.93

Probability = 0.95/1.93

= 0.5