• There is a screening test for a rare disease that affects 1.5% of the population. Unfortunately, the

reliability of this screening test is only 70%. What it means is that it gives a false positive result 30% of the time. Fortunately, there is no false negative. Suppose if you are tested positive for this rare disease, what is the probability that you are actually inflicted by this rare disease? (Hint: one of the recommended approaches involves Bayes’ Theorem)

Please explain the probability of been infected by this rare disease. Please explain step by step.

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