On the basis of a physical examination and symptoms, a physician as- sses the probabilities that the patient has no tumour, a benign tumour, or malignant tumour as 0.70, 0.20, and 0.10, respectively. A thermographic st is subsequently given to the patient. This test gives a negative result th probability 0.90 if there is no tumour, with probability 0.80 if there is benign tumour, and with probability 0.20 if there is a malignant tumour. a) What is the probability that a thermographic test will give a negative

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A: :

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