During the covid-19 pandemic, a person had a probability of 0.01 being infected. COVID-19 tests are not reliable, however, as a test gives 0.02 people a positive result irrespective of whether they are infected or not infected. That being said, given that a person is infected, the probability of getting a positive result is 0.8.

Assume that the results of two or more tests given to a person are independent.

What is the probability of a person being infected given a positive test result?

What is the probability of a person getting a positive test result given that he/she is not infected?

What is the probability of a person being infected given two positive test results?

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using Bayes theorem we have PAB PBA PA PB where PA is the prior probability of A PBA is the conditio... View the full answer