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Georgia Institute Of Technology ISYE 6501 midterm 2 solutions-GRADED A+

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NAME____________________________ ISYE 6501, Introduction to Analytics Modeling Midterm #2 – Friday, November 8, 2019 50 minute time limit INSTRUCTIONS • Work alone. Do not collaborate with or... copy from anyone else. • Write all of your answers on the answer sheet. • You may use any of the following resources: o One sheet (both sides) of handwritten (not photocopied or scanned) notes o Scratch paper • If any question seems ambiguous, use the most reasonable interpretation (i.e., don’t be like Calvin). • Good luck!APPROXIMATE GRADING SCALE (Note that your course grade will be based on the numeric scores, not letters – so, for example, someone who gets “B”s on the first two exams by each time scoring one point below the “A” cutoff, and then scores way above the “A” cutoff on the last exam, would have an exam average in the “A” range, even with two “B”s and one “A”.) HIGH SCORE: 105 MEDIAN SCORE: 94 MEAN SCORE: 94 POINTS GRADE # of students 94-105 A 52 89-93 A-/B+ 11 80-88 B 16 76-79 B-/C+ 3 60-75 C x 50-59 D y 0-49 F z1. (9 points) Match each of the probability distributions with a situation that it is most appropriate for modeling. SITUATIONS DISTRIBUTIONS a. Number of trucks inspected that fail an emissions test, out of 800 inspected b. Time between bees returning to a hive c. Number of trucks inspected before the first one is found that fails an emissions test i. Weibull ii. Poisson iii. Geometric iv. Exponential v. Binomial GRADING: 3 points for each correct answer SOLUTIONS: a. v b. iv c. iii 2. In a diet problem (like we saw in the lessons and homework), let ???? be the amount of food ?? in the solution (???? ≥ 0), and let ?? be the maximum amount that can be eaten of any food. Suppose we added new variables ???? that are binary (i.e., they must be either 0 or 1): if food ?? is eaten in the solution, then it is part of the solution (???? = 1); otherwise, ???? = 0. Match each English sentence with the mathematical constraint that corresponds to it. Only 3 mathematical constraints will be used; the other 5 will not. CONSTRAINT [Show More]

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