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HW3-2

HW3-2 - 2 P A wins the series 3 P A wins the series | B...

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ECE 302, Homework #3. Due date: 2/2 http://www.ece.purdue.edu/ chihw/ECE302 07.html Prof. Chih-Chun Wang Email: [email protected] Office: MSEE354 Office Hours: MWF: 12pm–1pm TA: Kamesh Krishnamurthy, Email: [email protected] Office: POTR 370 Office Hours: M: 10–11am TTh: 10:30am–12:30pm Review of Calculus: Question 1: Compute the following integrals. Z 2 π 0 a cos( ωt + θ ) Z 2 π 0 a cos( ωt + θ ) da Question 2: Consider a best-of-three series between teams A and B. The conditional distributions are as follows. P ( A wins the next game | B is leading in the series ) = 0 . 7 P ( A wins the next game | A and B are tied in the series ) = 0 . 5 P ( A wins the next game | A is leading in the series ) = 0 . 4 1. Construct the weight assignment for the sample space S . Hint: use conditional distribution and similar derivation as in Example 2.22.

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Unformatted text preview: 2. P ( A wins the series )? 3. P ( A wins the series | B wins the ﬁrst game)? 4. P ( A wins the series | A wins the ﬁrst game)? 5. P ( It is a 2-1 series | A wins the series)? Question 3: Problem 2.59 Question 4: Problem 2.61. Answer the following questions before trying to solve Problem 2.61: 1. What is the sample space? Hint: S = { ( A, defective) , ( A, not-defective) , ···} 2. What is the weight assignment/distribution on the sample space? Hint: using similar construction as in Example 2.22. 3. Each question in Problem 2.61 is about conditional distribution P ( E 1 | E 2 ). What are the events E 1 and E 2 in each question respectively?...
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