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)
Posted: Sun Oct 03, 2021 12:24 pm
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.