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hw6 - (i.e show that Cov X,Y = 0 but that X,Y are not...

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Math 310-1 (Fall 2011) Homework #6 Due date: Friday 11/11 in class 1. Do Problem #53 on Worksheet #9. 2. Consider the joint probability distribution of two random variables X and Y : f X,Y (0 , - 1) = 0, f X,Y (0 , 0) = 1 / 3, f X,Y (0 , 1) = 0, f X,Y (1 , - 1) = 1 / 3, f X,Y (1 , 0) = 0, f X,Y (1 , 1) = 1 / 3. Show that the random variables X,Y are uncorrelated
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Unformatted text preview: (i.e., show that Cov ( X,Y ) = 0), but that X,Y are not independent. 3. Do problem #55 on Worksheet #9. Add: (a) Find ρ ( X, 3 X + 7). (b) Find ρ ( X,-5 X + 2). From the textbook: pp 105 # 19, 20, 21, 23, 27, 28. pp 134 # 3, 4, 7, 14, 16, 17, 18....
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