Reference no: EM133143946
1. You are selling a product in an area where 30 % of the people live in the city and the rest live in the suburbs. Currently 20 % of the city dwellers user your product and 10 % of the suburbanites use your product. Given that someone uses your product, what is the probability that the person lives in the city?
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2. A problem is given to three persons Q, R, and S whose respective chances of solving it are 2/7, 4/7, 4/9 respectively. What is the probability that the problem is solved by at least one?
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3. Suppose that in an adult population the proportion of people who are both overweight and suffer hypertension is 0.09; the proportion of people who are not overweight and suffer hypertension is 0.11; the proportion of people who are overweight and do not suffer hypertension is 0.02; and the proportion of people who are neither overweight nor suffer hypertension is 0.78. An adult is randomly selected from this population. Find the probability that the person selected suffers hypertension given that he is overweight.
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4. A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability of wife's selection is (1/5). If the husband's selection is independent of the wife's selection, what is the probability that only one of them is selected?
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5. A manufacturer produces sweatshirts through a standardized process. The process is efficient and cost effective, but as such, it produces 20% defects. A quality management program of thoroughly inspecting every sweatshirt is not cost effective. As an alternative, the manufacturer decides to use a program of cursory inspection of each sweatshirt because it is cost effective. A satisfactory sweatshirt will always pass the cursory inspection. Approximately 10% of the defective sweatshirts will also pass the cursory inspection test. What is the probability of a defective sweatshirt given that it has passed the cursory inspection?
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