Unformatted text preview: E [ Y  X = 1]? (d) Is there a choice for the unspeci±ed entries that would make X and Y independent? Let B be the event that X ≤ 2 and Y ≤ 2. We are told that conditioned on B , the random variables X and Y are independent. (e) What is p X,Y (2 , 2)? (If there is not enough information to determine the answer, say so.) (f) What is p X,Y  B (2 , 2  B )? (If there is not enough information to determine the answer, say so.) 3. Problem 2.33, page 128 in the text. A coin that has probability of heads equal to p is tossed successively and independently until a head comes twice in a row or a tail comes twice in a row. Find the expected value of the number of tosses. Page 1 of 1...
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 Spring '11
 Proasin
 Computer Science, Electrical Engineering, Probability, Probability theory, Probabilistic Systems Analysis, Department of Electrical Engineering & Computer Science, expected value rule

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