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What is the probability that a randomly selected person from the population tests negative, statistics homework help

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znegva28

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You’ve Got Cooties! A certain medical test has the following reliability: if a person has cooties the test will show positive with probability 0.95. If a person does not have cooties, the test will show negative with probability 0.6. Overall, 10% of the population has cooties. Give your answers as percentages with two decimal digits, e.g. 93.42%.

Hint: Fill in this tree diagram. C = person has cooties. F = person is cooties “free”. P = test is positive for the disease. N = test is negative for the disease.

Q1) What is the probability that a randomly selected person from the population tests negative?

Q2) What is the probability that a randomly selected person from the population tests positive?

Q3) If a person tests negative, what is the probability that the person is actually free of the disease?

Q4) If a person tests positive, what is the probability that the person actually has the disease?

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