Let (X,Y) have the joint density function f(x,y) = { (6/5)(1+x+y) for 0 s x, y < 1, x+ys1 otherwise } (d) Find the conditional distributions f (x|y) and f(y|x) (e) Find the E[E[X|Y]] and E[E[Y|X]] (f) Find the covariance Cov(X,Y)

Q: The joint pdf of X and Y is given by fx,y(x,y) = {4x2   0<y<x<1}…

A: ANSWER: To determine the basis of a random variable U, we need to find the range of values ​​that U…

Q: Determine the set of points at which the function is continuous. F(x, y) xy 2 + ex-y

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Q: The joint pdf of X and Y is given by fx,y(x,y) = {4x2   0<y<x<1}…

A: Sol:- To find the support of U, we first need to find the range of values that U can take

Q: Let f(x,y) = and let g(x, y) 4xy¹ 4x4 + 4y4 0 if(x, y) = (0,0) 0 if (x, y) = (0,0) 5xy 10 5x² + 5y20…

A: f(x,y)=4xy44x4+4y4if (x,y)≠(0,0)0if (x,y)=(0,0)g(x,y)=5xy105x2+5y20if (x,y)≠(0,0)0if (x,y)=(0,0)

Q: True/false: Suppose f(r, y) and g(x, y) are continuous functions and f(x, y) > g(x,y) for all x, y…

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Q: Find df / dx and ðf / dy. f(x,y) = e(x + y + 8)

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Q: Let f(x, y) = and let g(x, y) O O rºy6 26+y6 O 0 0 6x³y³ 6x6 + 6y6 Which of the above functions are…

A: fx,y=x6y6x6+y6if x,y≠0,00if x,y=0,0 gx,y=6x3y36x6+6y6if x,y≠0,00if x,y=0,0

Q: Let f(x, y) and let g(x, y) = O O 8xy8 828+8y8 O 3xy6 3x² + 3y¹2 Which of the above functions are…

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Q: 1) Let f(x,y) = 6x,0 < x < y<1 and 0 elsewhere. Find a) The marginal density of X and Y

A: The provided information is  f(x,y)=6x    0&lt;x&lt;y&lt;1   and 0 otherwise Therefore  a. The…

Q: [8] 6. Let Y1 and Y2 have joint density function J8y1y2 0< yı < y2 < 1 fY, x, (Y1, 42) = otherwise…

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Q: X~U(0,1)  and Y|X = x~U(x,1) a) what is joint pdf fX,Y(x,y)? b) what is marginal pdf fY(y)? c)…

A: Given, X~U(0,1)  and Y|X = x~U(x,1)

Q: Astroid: (0 s t s 2x) x = a cos3 t y = a sin3 t a ab 3 o 2ra2 O zab 2nab

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Q: se the chain rule to compute and at (u, v) = (1, I) where f(x, y, z) = x²y + y²z + z²x and r(u, v) =…

A: Given: fx,y,z=x2y+y2z+z2xr→u,v=eucosv,eusinv,u2u,v=1,π4 To find: ∂f∘r→∂u=?∂f∘r→∂v=? Concept used:…