Math

Use Bayes' theorem to solve this problem.

A certain virus infects 10 in every 5000 people. A test used to detect the virus in a person is positive 96% of the time if the person has the virus and 2% of the time if the person does not have the virus (false positive).

Find the following probabilities. Enter your answer as a percent, rounded to the nearest HUNDREDTH of a percent.

(a) The probability that a person really has the virus given that they have tested positive

P(virus| +) = Answer
%

(b) Find the probability that a person does not have the virus given that they test negative

P(no virus | −) =Answer
%

  1. 👍 0
  2. 👎 0
  3. 👁 165
  1. so, what does Bayes' theorem say?

    1. 👍 0
    2. 👎 0

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