Unformatted text preview: (1/8) (1/8) (1/8) (1/8) (1/8) (1/8) (1/8) (1/8) y x 1 2 3 4 1 2 3 (a) Which value(s) of x maximize(s) E [ Y  X = x ]? (b) Which value(s) of y maximize(s) var( X  Y = y )? (c) Let R = min( X,Y ). Prepare a neat, fully labeled sketch of p R ( r ), (d) Let A denote the event X 2 ≥ Y . Determine numerical values for the quantities E [ XY ] and E [ XY  A ]. 3. Example 2.17. Variance of the geometric distribution. You write a software program over and over, and each time there is probability p that it works correctly, independent of previous attempts. What is the variance of X , the number of tries until the program works correctly? Page 1 of 1...
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 Spring '11
 Proasin
 Computer Science, Electrical Engineering, Probability theory, Massachusetts Institute of Technology, Probabilistic Systems Analysis, fair foursided die, Department of Electrical Engineering & Computer Science, equally likely event

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