Answer to Question #138807 in Statistics and Probability for hope

Question

If a person tests positive for Tuberculosis (TB) and starts treatment immediately, it takes on average 6 months (183 days, with a standard deviation of 14 days) of treatment until they are completely TB free. To receive the positive TB test individuals may go for the tuberculin skin test which takes on average 2.5 days to receive these test results with a standard deviation of 0.5 days, after which they are immediately given TB treatment. If we are interested in the total time until a person is TB free from the time of the TB test, what is the mean of the distribution that describes this time from TB test until a TB-free status?

Answer 1

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