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please show work and will thumbs up thanks. Suppose an employee is suspected of

ID: 3219985 • Letter: P

Question

please show work and will thumbs up thanks.

Suppose an employee is suspected of having used an illegal drug and is given two tests that operate independently of each other. Test A has probability 0.88 of being positive if the illegal drug has been used. Test B has probability 0.85 of being positive if the illegal drug has been used. The company requires that an employee, AI Capone, take and pass both tests to keep his job. Assume that AI has, in fact, been using the illegal drug. What is the probability that neither test is positive (and thus AI gets to keep his job)? Express your answer in decimal form to 3 decimal places.

Explanation / Answer

probabilty that neither test is able to come true positve =test A false negative*test B false negative

=(1-0.88)*(1-0.85)=0.018