What is the probability of the patient having the virus

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Say you have 2 independent virus tests. Let's say 94% of people who walk into the exam room do not have a virus.

Test A accurately labels people with a virus as being positive with a probability of .93 but labels people without the virus as positive with a probability of .04.

Test B accurately labels people with a virus as being positive with a probability of .85 but labels people without the virus as positive with a probability of .02.

a. Given both tests label the patient as not having the virus(negative) what is the probability of the patient having the virus.

b. Are the events where the 2 tests download as "negative" independent? Why or why not?

c. Assuming a person does not have the virus, what is the probability that at least one of the two tests labels the person as having the virus (positive).

d. Given both tests label the patient as negative, what is the probability that the patient has the virus.

Reference no: EM132856616

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