Question 5 Assume that among all year old man with lung ca rumorr QD'H: have symptoms of a chronic cough and occasional breathlessness. Suppose that among all llyear old man with sarcoidosis. 'El'lb have symptoms of a chronic cough and occasional breathlessness. Among all llyear old man without the two diseases. Dill: have symptoms of a chronic cough and occasional breathlessness. Besides, {ll'l'ii of yearold, neversmoking men have lung cancerr and D.9% of 50-year-old, neversmoking men have sarcoidosis. More over, assume that having lung cancer and having sarcoidosis are mutually exclusive. Suppose a myearold man who has never smoked cigaretteo presents to a physician with symptoms of a chronic cough and occasional breathlessness. The physician becomes concerned and orders the patient admitted to the hospital for a lung biopsy. What is the probability that the man does not have the two diseases? [A].1.DD%; (magenta; {gamete-r (o}.9.91%; {E}. 9.131%