Let X and Y have joint density fx,y(x, y) = (6 - x - y) I(0,2)(x) I(2,4) (y). a. Find Var[Y| X = x]. b. Show that E[Y] = E{E[Y|X]}.

Q: 'y' and evaluate each at the given point. ху f(x, y) = - (2, -2) %3D x - y f,(x, y) = %3D ,(x, y) =…

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A: Differentiate the function f with respect to L.

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Q: A. Show that f(x, y) = (x-1)(y-2) (x-1)²+(y-2)² 7 (x, y) = (1,2) (x, y) = (1,2) at (1,2). 1 is…

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Q: 1 Selving ou au at

A: We solve it by seperation of variable method.

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Q: Given the continuous function: (a) f(x, y) = (b) fy(x, y) = (c) fax(x, y) = d) fxy(x, y) = f(x, y) =…

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Q: 1. Let f(u, v) be a continuously differentiable function. Let u = e*, v = e³. Show that u²fuu + v²…

A: Given that f(u,v) is a continuously differentiable function, and u=ex, v=ey then show that…

Q: Suppose X and Y have the joint pdf f(x,y) = c(1.57-x-y), x+y0, y> 0 a) Find the value of c so that f…

A: Given: X and Y have the joint pdf f(x,y) = c(1.57-x-y), x+y<1.57, x>0, y>0

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Q: Let X and Y have the joint pdf f(x, y) = (1 – xy), 0 < x < 1, 0 < y < 1. Find E(X).

A: The given joint pdf is fx,y=431-xy,0&lt;x&lt;1,0&lt;y&lt;1.

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Q: alculate D(f ◦ g) for the fun

A: answer is in next step

Q: Let X and Y have the joint pdf f(x, y) = (1 –- xy), 0 < x < 1, 0 < y < 1. Find V(X).

A: let X and Y have the joint pdf f(x,y)=43(1-xy),   0&lt;x&lt;1, 0&lt;y&lt;1 marginal density function…

Q: Find Vf(x, y) if f(x,y) = e** cos y ..... ...

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Q: Find E(XY)

A: Given that,The joint PDF of (X, Y) is,