(4 points) Suppose it is known that 0.001% of the general po…
(4 points) Suppose it is known that 0.001% of the general population has certain type of cancer. A patient visits a doctor complaining of symptoms that might indicate the presence of this cancer. The doctor performs a blood test that will confirm the cancer with the probability of 0.99 if the patient does indeed have cancer. However, the test also produces false positives or says a person has cancer when they do not. The occurs with the probability of 0.2. If the test comes back positive, what is the probability that the person has cancer?