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6mid - clear For 100 level students should do 3 out of 4...

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CS155 Probabilistic Methods in CS Upfal MIDTERM Th, 29 Oct 2009, 1pm Policy No collaboration is allowed on this homework. If you have any questions, ask a TA or the instructor (email: [email protected]) or post them to the class email list ([email protected]). Copying solutions from another source is not allowed. Answers should be concise and clear
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Unformatted text preview: clear . For 100 level students should do 3 out of 4 questions, for 200 level do all. Problems 4.15, 4.17, 5.5 and 5.21 from the textbook. Problem 5.5 hints: To show that Y and Z are Poisson use: Pr( Y = i ) = ∑ j ≥ Pr( Y = i | X = j ) Pr( X = j ) To show independence use: Pr( Y = i and Z = j ) = Pr( Y = i and X = i + j )...
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