Question: I need help solving this one - please show work. Thanks in advance There is a screening test for a rare disease that affects 1.5%

I need help solving this one - please show work. Thanks in advance

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: Bayes Theorem)

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