Problem 4.7. Tuberculosis is a rare disease in developing countries. However, it is the most
common cause of death in HIV - positive adults living in these countries (sec [16]). Consider a
country in which 0.045% of its adult population has tuberculosis. It is estimated that 8% of all
tuberculosis cases in this country are co - infected with HIV. Compute the probability that a
randomly selected adult from this country has both tuberculosis and HIV.
Solution
P(both) = P(tuberculosis) * P(HIV | tuberculosis) = 0.00045 * 0.08 = 0.000036.
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Problem 4.7. Tuberculosis is a rare disease in developing countries. .pdf
1. Problem 4.7. Tuberculosis is a rare disease in developing countries. However, it is the most
common cause of death in HIV - positive adults living in these countries (sec [16]). Consider a
country in which 0.045% of its adult population has tuberculosis. It is estimated that 8% of all
tuberculosis cases in this country are co - infected with HIV. Compute the probability that a
randomly selected adult from this country has both tuberculosis and HIV.
Solution
P(both) = P(tuberculosis) * P(HIV | tuberculosis) = 0.00045 * 0.08 = 0.000036
![Problem 4.7. Tuberculosis is a rare disease in developing countries. However, it is the most
common cause of death in HIV - positive adults living in these countries (sec [16]). Consider a
country in which 0.045% of its adult population has tuberculosis. It is estimated that 8% of all
tuberculosis cases in this country are co - infected with HIV. Compute the probability that a
randomly selected adult from this country has both tuberculosis and HIV.
Solution
P(both) = P(tuberculosis) * P(HIV | tuberculosis) = 0.00045 * 0.08 = 0.000036](https://image.slidesharecdn.com/problem4-230703180834-89b18fd9/85/Problem-4-7-Tuberculosis-is-a-rare-disease-in-developing-countries-pdf-1-320.jpg)
