Suppose that a 60 year old man who has never smoked cigarettes presents to a phy

Question

Suppose that a 60 year old man who has never smoked cigarettes presents to a physician with consisting of a chronic cough and occasional shortness of breath. The MD considers three d Cancer, Sarcoidosis (non-fatal lung disease), or Neither Lung Cance conditions for a 60 year man are : P(Lung Cancer) 0.001, P(Sarcoidosis) 0.001, P (Neither) probability of symptoms given the condition are: P(Symptoms Lung Cancer) 0.95 9) symptoms iagnoses, Lung r nor Sarcoidosis. The probability of these P(Symptoms l Sarcoidosis) = 0.99, P(Symptoms l Neither-01. a) What is the probability of Lung Cancer given the symptoms, i.e. PiLung Cancer|Symptoms)? points) (10 .95 65 6.45 b) What is the probability of Neither Lung Cancer Nor Sarcoidosis given the symptoms, i.e. P(Neither Lung Cancer nor Sarcoidosis|Symptoms)? (10 Points

Explanation / Answer

Suppose that a 60 year old man who has never smoked cigarettes presents to a physician with consisting of a chronic cough and occasional shortness of breath. The MD considers three d Cancer, Sarcoidosis (non-fatal lung disease), or Neither Lung Cance conditions for a 60 year man are : P(Lung Cancer) 0.001, P(Sarcoidosis) 0.001, P (Neither) probability of symptoms given the condition are: P(Symptoms Lung Cancer) 0.95 9) symptoms iagnoses, Lung r nor Sarcoidosis. The probability of these P(Symptoms l Sarcoidosis) = 0.99, P(Symptoms l Neither-01. a) What is the probability of Lung Cancer given the symptoms, i.e. PiLung Cancer|Symptoms)? points) (10 .95 65 6.45 b) What is the probability of Neither Lung Cancer Nor Sarcoidosis given the symptoms, i.e. P(Neither Lung Cancer nor Sarcoidosis|Symptoms)? (10 Points

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