Question

g Suppose a kind of disease exists within 1% of the population and a certain test can help diagnose it. If someone has the disease, the test will give a positive result with a 95% probability. On the other hand, if someone does not have the disease, the test result will give a negative result 97% of the time. If David did the test once, what is the probability that the test result is positive

Answer 1

Answer:

0.0392 = 3.92% probability that the test result is positive.

Step-by-step explanation:

Probability of a positive test:

95% of 1%(person has the disease)

100 - 97 = 3% of 100 - 1 = 99%(person does not have the disease).

What is the probability that the test result is positive?

$p = 0.95*0.01 + 0.03*0.99 = 0.0392$

0.0392 = 3.92% probability that the test result is positive.