2. (+10) The reliability of a particular test for the Ebola virus is as follows:

Question

2. (+10) The reliability of a particular test for the Ebola virus is as follows: If the subject has Ebola, the test comes back positive 98% of the time. If the subject does not have Ebola, the test comes back positive 1% of the time. From a large population, in which 2 in every 10,000 people have Ebola, a per is selected at random and given the test, which comes back positive. SHOW ALL WORK AND CIRCLE YOUR FINAL ANSWER (a) What the probability of False Positive and False Negative in the Ebola test (4 points)

Explanation / Answer

a) P(False positive)

= P(Ebola test comes positive| No Disease)

= 0.01

P(False negative)

= P(Ebola test comes negative | Disease)

= 1 - P(Ebola test comes positive | Disease)

= 1 - 0.98

= 0.02

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