A new test has been developed to detect a particular type of cancer. A medical r

Question

A new test has been developed to detect a particular type of cancer. A medical researcher selects a random sample of 1,000 adults and finds (by other means) that 4% have this type of cancer. Each of the 1,000 adults is given the new test and it is found that the test indicates cancer in 99% of those who have it and in 1% of those who do not. Based on these results, what is the probability of a randomly chosen person having cancer given that the test indicates cancer? What is the probability of a person having cancer given that the test does not indicate cancer.

detail answer please.

Explanation / Answer

This example has been solved by using Bayes Rule

(a) 0.0396

(b) 0.1951

Event Proir Cond Prob. Joint Prob. Inverse Have Cancer 0.04 0.99 0.0396 0.804878 Donot have cancer 0.96 0.01 0.0096 0.195122 0.0492

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