EN.553.420 Final: Final No Solutions Fall 2014

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14 Mar 2019
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9 am noon wednesday december 18, 2014. I agree to complete this examination without unauthorized assistance from any person, materials or device. Answers are to be written clearly and concisely, and clearly labelled (for example, with a box drawn around the intended answer). Please answer each question on the page on which it is stated, using the back of the page if necessary. It is important to show and explain your work; your answer must be properly justi ed (with at least key words and phrases) to receive full credit. The total number of points possible is 160, but will be re-scaled to 100 for purposes of replacing a midterm score. [1] eleven chairs are numbered 1 through 11. Four girls and seven boys sit on these chairs at random. [2] let a, b, and c be three events. Show that exactly two of these events will occur with probability. P [ab] + p [ac] + p [bc] 3p [abc].

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