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Problem
Let X,Y and Z be three jointly continuous random variables with joint PDF
fXYZ(x,y,z)=⎧⎩⎨⎪⎪13(x+2y+3z)00≤x,y,z≤1otherwise
Find the joint PDF of X and Y, fXY(x,y).
Let X,Y and Z be three independent random variables with X∼N(μ,σ2), and Y,Z∼Uniform(0,2).
We also know that
E[X2Y+XYZ]=13,E[XY2+ZX2]=14.
Find μ and σ.Let X,Y and Z be three independent random variables with X∼N(μ,σ2), and Y,Z∼Uniform(0,2). We also know that
E[X2Y+XYZ]=13,E[XY2+ZX2]=14.
Find μ and σ.
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