A test to diagnose a respiratory disease is correct 90% of the time if the patient has the disease, and it is correct 95% of the time if the patient does not have the disease. Only 4% of the population has this respiratory disease. If a patient is chosen at random, what is the probability that the test will diagnose he or she has the disease? (actually have the disease or not)   (need the process can be by hand ,Excel or R.) a)Other result (add your solution in your procedures document) b)0.052 c)0.948 d)0.084 e)0.916

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A test to diagnose a respiratory disease is correct 90% of the time if the patient has the disease, and it is correct 95% of the time if the patient does not have the disease. Only 4% of the population has this respiratory disease. If a patient is chosen at random, what is the probability that the test will diagnose he or she has the disease? (actually have the disease or not)   (need the process can be by hand ,Excel or R.)

a)Other result (add your solution in your procedures document)

b)0.052

c)0.948

d)0.084

e)0.916

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