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In a certain population, 1% of the individuals are infected with a certain virus. A test is applied to the whole population and

- 29.7% of individuals test positive

- Out of the infected individuals, 99% test positive

- Out of the non infected individuals, 2% test positive

An individual is chosen at random. Consider the following events:

A = {the individual is infected} B = {the individual tests positive }

(a) What is P(B|A) and P(A|B)?

(b) Are the events A and B independent?

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91015822

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