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.