Question: A screening test for a disease shows a positive result in 93% of all cases when the disease is actually present and in 3%

A screening test for a disease shows a positive result in 93% 

A screening test for a disease shows a positive result in 93% of all cases when the disease is actually present and in 3% of all cases when it is not. Assume that the prevalence of the disease is 1 in 400. If the test is administered to a randomly chosen individual, what is the probability that the result is positive? Probability is

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