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Unformatted text preview: (b) (20 points) What is the probability that I have to interrupt my journey? 2 3. 0.1% of the population has an illness which is tested with 95% accuracy for ill people, and 99% accuracy for healthy people. (a) (25 points) Given that I test positive, what is the probability that I’m ill? (b) (25 points) After my Frst, positive test they repeat it. What is the probability that it comes out again positive? (c) ( Bonus question , only try when all other problems are solved, additional 5 points) After n tests, all resulting positive, what is the probability that I’m ill? What is the limit of this formula as n →∞ ? 3 4. (35 points) In my neighborhood, 80% of the residents have a car, 50% have bicycle, but 5% don’t have car nor bicycle. What percentage of the residents have both car and bicycle? 4...
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 Fall '05
 BALAZS
 Math, Probability, Automobile, Bicycle wheel, Evening Exam Version

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