STATISTC 515 Final: STATS 515 UMass Amherst S515.Spring17.Final

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31 Jan 2019
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University of massachusetts, amherst, department of mathematics and. Instruction: notes, calculators, and other electronics are not allowed, show all of your work. You need to fully justify all of your answers. A correct answer with insu - cient justi cation may receive no credit: a formula sheet is provided on the last page, you have 2 hours to complete the exam. 2: use the central limit theorem to give approximate answers to the following questions. The nal answer can be left as an integral. (a) (8 point) a supermarket manager asks 100 customers if they are satis ed with a certain product. Use the central limit theorem to approxi- mate the probability that the average lifetime of the 81 light bulbs is between 14 and 16 months. You can leave the nal answer in terms of an integral. 3 (b) (8 points) now suppose we have 100 light bulbs.