WebX(t) = (1−2t)−2, M Y (t) = (1−2t)−3. Find Var(X +Y). 9 pts Solution. [This is a simplified form of Problem 9 from HW 10.] Since X and Y are independent, X +Y has mgf M X+Y (t) = M X(t)M Y (t) = (1−2t)−5. Hence, M0 X+Y (t) = 5·2(1−2t) −6, M0 X+Y (0) = 10, M00 X+Y (t) = 10·6·2(1−2t)−7, M X 00 +Y (0) = 120, Var(X +Y) = M00 ... Webfx = −y 2 (x + 4y) 2. fy = 2. y(x + 4y) − y 2 · 4 (x + 4y) 2. From this we get: fx(5, −1) = − 1 fy(5, −1) = − 6. Next, we have: fxy = − 2 y(x + 4y) 2 + y 2 · 2(x + 4y) · 4 (x + 4y) 4. 1. …
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WebSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. WebInverse Function. For any one-to-one function f(x) = y, a function f − 1(x) is an inverse function of f if f − 1(y) = x. This can also be written as f − 1(f(x)) = x for all x in the domain of f. It also follows that f(f − 1(x)) = x for all x in the domain of f − 1 if f − 1 is the inverse of f. The notation f − 1 is read “f ... cheap hotels back bay area
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