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What is the conditional probability that a patient

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Problem: Suppose there has been an outbreak of new u virus,and it is known that 8% of the population have this flu. Suppose that there is a certain test for the flu. Conditional on a person having the flu, there is a 98% probability that the test returns positive. Conditional on a person not having the flu, there is a 3% probability that the test returns positive.

Required:

Question 1: What is the conditional probability that a patient is actually infected given he/she tests positive?

Question 2: What is the conditional probability that a patient is NOT actually infected given he/she tests positive?

Question 3: What is the conditional probability that a patient is actually infected given he/she tests negative?

Question 4: What is the conditional probability that a patient is NOT actually infected given he/she tests negative?

Reference no: EM132463569

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