It is known that a rare disease, K, is present only in 0.2% of the population. Performance of the test by a physician€™s diagnostic test for the presence or absence of the disease K is given in Table 2.4.4, where R+ denotes the positive test result, and Rdenotes the negative result. Also, Kc denotes absence of the disease.
(a) What is the probability that a patient has the disease, if the test result is positive?
(b) What is the probability that a patient has the disease, if the test result is negative?
Table 2.4.4 Diagnostic Test Results for Disease K

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R* 0.02 0.98 0.01 KO 0.99