Suppose 10000 people are given a medical test for a disease. About1% of all people have this condition. The test results have a 15% false positive rate and a 10% false negative rate. What percent of the people who tested positive actually have the disease?

The percent of the people who tested positive actually have the disease is 38.64%.

Step-by-step explanation:

Denote the events as follows:

X = a person has the disease

P = the test result is positive

N = the test result is negative

Given:

Compute the value of P (P|X) as follows:

Compute the probability of a positive test result as follows:

Compute the probability of a person having the disease given that he/she was tested positive as follows:

The percentage of people having the disease given that he/she was tested positive is, 0.3864 × 100 = 38.64%.

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the answer is a if my teacher taught me correct