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hw608 - Problem 10 from Section 6.3 of Rosen’s textbook...

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CS 1050 B: Constructing Proofs March 25, 2008 Homework 5 Lecturer: Sasha Boldyreva Due: April 3, 2008 Assignment 6.01 Do the assigned reading. Assignment 6.02 Indicate how much time did you spend on this homework. In all problems do not just give an answer, but show you reasoning. Problem 6.1, 20 points. Problem 8 from Section 6.2 of Rosen’s textbook. Problem 6.2, 12 points. The experiment consists of picking at random a bit string of length 5. Consider the following events: E1: the bit string chosen begins with 1; E2: the bit string chosen ends with 1; E3: the bit string chosen has exactly three 1s; a) find Pr [ E 1 | E 3 ] b) find Pr [ E 3 | E 2 ] c) find Pr [ E 2 | E 3 ] Problem 6.3, 16 points. Problem 28 from Section 6.2 of Rosen’s textbook. Problem 6.4, 17 points.
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Unformatted text preview: Problem 10 from Section 6.3 of Rosen’s textbook. Problem 6.5, 8 points. Problem 16 from Section 6.3 of Rosen’s textbook. Problem 6.6, 12 points. You have two decks of 26 cards. Each card in each of the two decks has a diﬀerent letter of the alphabet on it. You pick at random one card from each of the two decks. A vowel is worth 3 points and a consonant is worth 0 points. Let X be the sum of the values of the two cards picked. Find E(X), V(X), and the standard deviation of X. Problem 6.7, 5 points. Problem 6 from Section 6.4 of Rosen’s textbook. Problem 6.8, 5 points. Problem 6 from Section 6.4 of Rosen’s textbook. Problem 6.9, 5 points. Problem 20 from Section 6.4 of Rosen’s textbook....
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