Probability of Emphysema in a Population - Calculation and Analysis

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The discussion focuses on calculating the probability of emphysema in a population based on smoking status. The user presents their calculations for three probability questions, including the overall probability of having emphysema and conditional probabilities for smokers and non-smokers. The calculations yield results of 17/5000 for the overall probability, 0.9% for smokers, and 0.2% for non-smokers. The user expresses uncertainty about their answers, seeking validation from others. Overall, the calculations appear correct based on the provided data.
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check the answers please~

Ive done the following questions but not sure about my answers because i have different answers with my friend.. so please tell me whether its correct or wrong.. thank you!:smile: Question 2. In a region, 20% of the adult population are smokers,
0:9% are smokers with emphysema, and 0:2% are non-smokers with emphysema.
(a) What is the probability that a person, selected at random, has emphysema?
0.9% * 20% + 0.2% * 80% = 9/1000 * 1/5 + 2/1000 * 4/5 = 17/5000
(b) Given that the selected person is a smoker, what is the probability that this
person has emphysema?
0.9% = 9/1000
(c) Given that the selected person is not a smoker, what is the probability that
this person has emphysema?
0.2% = 2/1000 = 1/500
 
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Looks right to me.
 
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