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Module 2: Linear Models and Bayesian Learning

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A patient takes a lab test and the result comes back positive. It is known that the test returns a correct positive result in only 98% of the cases and a correct negative result in only 97% of the cases. Furthermore, only 0.008 of the entire population has this disease.
(i) What is the probability that this patient has cancer?
(ii) What is the probability that he does not have cancer?
(iii) What is the diagnosis?

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