Q9) In a city, a certain medical condition affects 2%of the population. There is a medical test available to diagnose this condition, which has an accuracy rate of 95%. The false positive rate of the test is 5%, meaning that 5% of the healthy individuals test positive. If a person tests positive for the condition, what is the probability that they actually have the condition?

Question

In a city, a certain medical condition affects 2%of the population. There is a medical test available to diagnose this condition, which has an accuracy rate of 95%. The false positive rate of the test is 5%, meaning that 5% of the healthy individuals test positive.

If a person tests positive for the condition, what is the probability that they actually have the condition?