- 3 Anderson Exericse 2 3 Let F X Y C For X Y2 Sk And Elsewhere Wherek 0 A Prove That C 1 Tk E X 1 (17.38 KiB) Viewed 44 times
3. (Anderson, Exericse 2.3) Let f(x,y) = c for x² + y2 sk’ and elsewhere wherek > 0. a. Prove that • c = 1/(tk), • E(X)
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3. (Anderson, Exericse 2.3) Let f(x,y) = c for x² + y2 sk’ and elsewhere wherek > 0. a. Prove that • c = 1/(tk), • E(X)
3. (Anderson, Exericse 2.3) Let f(x,y) = c for x² + y2 sk’ and elsewhere wherek > 0. a. Prove that • c = 1/(tk), • E(X) = E(Y) = 0, • E(X2) = E(Y) = and • E(XY) = 0. Hint: Assume without proof that S x?va? – x?dx = a* sin) -xva? – x?(a? – 2x?) + C. b. Determine if X and Y are independent. Show supporting work or justification.