The following table lists the joint probabilities associated with smoking and lung disease among 60-to-65 year-old men. Smoker Nonsmoker Has Lung Disease 0.08 0.05 No Lung Disease 0.18 0.69 One 60-to-65 year old man is selected at random. What is the probability of the following events? A. He is a smoker: B. He does not have lung disease: C. He has lung disease given that he is a smoker: D. He has lung disease given that he does not smoke:

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The following table lists the joint probabilities associated with smoking and lung disease among 60-to-65 year-old men.
Smoker Nonsmoker
Has Lung Disease
0.08
0.05
No Lung Disease
0.18
0.69
One 60-to-65 year old man is selected at random. What is the probability of the following events?
A. He is a smoker:
B. He does not have lung disease:
C. He has lung disease given that he is a smoker:
D. He has lung disease given that he does not smoke:
Transcribed Image Text:The following table lists the joint probabilities associated with smoking and lung disease among 60-to-65 year-old men. Smoker Nonsmoker Has Lung Disease 0.08 0.05 No Lung Disease 0.18 0.69 One 60-to-65 year old man is selected at random. What is the probability of the following events? A. He is a smoker: B. He does not have lung disease: C. He has lung disease given that he is a smoker: D. He has lung disease given that he does not smoke:
Expert Solution
Step 1

The following information is available in the question

  Smoker Non-smoker Total
Has Lung Disease 0.08 0.05 0.13
No Lung Disease 0.18 0.69 0.87
Total 0.26 0.74 1

(a)

The probability of the person selected being a smoker is

PSmoker=PSmoker|Has lung Disease+PSmoker|No Lung Disease                   =0.08+0.18                   =0.26

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