Probability of Emphysema in a Population - Calculation and Analysis

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SUMMARY

The discussion focuses on calculating the probability of emphysema in a population based on smoking status. The calculations provided indicate that the overall probability of a randomly selected individual having emphysema is 0.34% (17/5000). Additionally, the probability of a smoker having emphysema is 0.9% (9/1000), while the probability for non-smokers is 0.2% (2/1000). These results are confirmed as accurate based on the provided data.

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  • Understanding of basic probability concepts
  • Familiarity with conditional probability
  • Knowledge of population statistics
  • Ability to perform calculations involving percentages
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  • Study the Law of Total Probability for more complex scenarios
  • Learn about Bayes' Theorem for conditional probabilities
  • Explore population health statistics and their implications
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Statisticians, public health researchers, and anyone involved in epidemiological studies will benefit from this discussion.

sinni8
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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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