Suppose that 20% of the adult population in Palestine smoke cigarettes only, 15% smoke Argeeleh only, and 10% smoke both cigarettes and Argeeleh. Suppose that 15% of those who smoke cigarettes only have respiratory problems, 10% of those who smoke Agreeleh only have respiratory problems, 20% of those who smoke both cigarettes and Argeeleh have respiratory problems, and 5% of non-smokers have respiratory problems. If an adult person is randomly selected from the population: What is the probability that he/she has respiratory problems? If the selected individual has respiratory problems, what is the probability that he/she is non-smoker? If the selected individual has respiratory problems, what is the probability that he/she smokes both cigarettes and Argeeleh?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Suppose that 20% of the adult population in Palestine smoke cigarettes only, 15% smoke Argeeleh only, and 10% smoke both cigarettes and Argeeleh. Suppose that 15% of those who smoke cigarettes only have respiratory problems, 10% of those who smoke Agreeleh only have respiratory problems, 20% of those who smoke both cigarettes and Argeeleh have respiratory problems, and 5% of non-smokers have respiratory problems. If an adult person is randomly selected from the population:

  1. What is the probability that he/she has respiratory problems?
  2. If the selected individual has respiratory problems, what is the probability that he/she is non-smoker?
  3. If the selected individual has respiratory problems, what is the probability that he/she smokes both cigarettes and Argeeleh?

 

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