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Antivirus test can detect the virus antibodies at 97% probability. For the sample that doesn't include the antibodies, the test gives a negative result at

Antivirus test can detect the virus antibodies at 97% probability. For the sample that doesn't include the antibodies, the test gives a negative result at 95% probability.

1) If 2% of the population has the virus, what is the probability that person selected at random tested positively?

2) What is the probability that the person who got positive test result really has with the virus?

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