en the current Center of Disease Analytics statistics, the probability of having the flu in our area is 10%.  A new flu test was just released with the following performance metrics.  In the case of a flu-infected person, the test comes back positive 90% of the time. For a non-flu infected person, the test comes back negative 95% of the time. If a person in our area tested negative, what is the probability that they have the flu?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 52E
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Given the current Center of Disease Analytics statistics, the probability of having the flu in our area is 10%.  A new flu test was just released with the following performance metrics.  In the case of a flu-infected person, the test comes back positive 90% of the time. For a non-flu infected person, the test comes back negative 95% of the time. If a person in our area tested negative, what is the probability that they have the flu?

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