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hwk1 - Homework 1 1 Read sections 1.6 and 1.7 of the text...

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Homework 1 1. Read sections 1.6 and 1.7 of the text then answer the following question (which is the same as the first exercise problem in the text). Name several entities, attributes, activities, events, and state variables for the following systems: (a) cafeteria; (b) grocery store; (c) hospital emergency room; (d) automobile assembly line. 2. A pair of fair dice are rolled one after the other. What is the probability that the second die lands on a higher value than the first? Answer that question first using basic probability. Then using a spreadsheet or manually using a pair of dice, simulate 50 rolls of each die to estimate the probability. 3. Suppose that there is a diabetes diagnostic test that is 95% accurate on those that do have diabetes and 96% accurate on those who don’t. If 10% of the population have diabetes, compute analytically the probability that a tested person has diabetes, given that his or her test results indicate so. Using a spreadsheet simulation verify your answer by sampling 10,000 individuals from the population.
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