Suppose that the joint probability density function of X and Y is fX,Y(x,y) = 10.125(x2 – y2) e−3x ,   for 00, takes the following form: fY|X=x(y) = C (x2-y2) xD e-Ex,   for -x

Q: 15 fxy(x,y)= 32 is a joint probability density function over the range 0<x<2 and 0<y<x. Find E(XY).

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A: Solution:- Given that pdf of y f(yθ) = θ yθ-13θ , 0 ≤y≤30 , elsewhere

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Q: 1 Suppose that X is a continuous random variable with the density functions f(x) =a n2) for 1sx s2.…

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Q: b) Find the marginal probability density function of X, fy(x).

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Q: m vartables A and Y has the foilowing joint probability denstty J fxy (*, y) = 2 -x- y for 0 srs1…

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Q: as the density function p(x 0.5X

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Q: Q8. If f(x,y) = (24xy, 0sxS1 ,0 <ys1 x +ys1 is a joint density function of X and Y. Find the…

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Q: Find the marginal density function fx, (x1) of X1.

A: We have to find the marginal probability density function of random variable X1.

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Q: Suppose that the joint probability density function of X and Y is fxy(x,y) = 78.125(x² - y²) e-5×,…

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Q: - y) = (x + y) is a joint probability density 15 ction over the range 0 < x < 3 and 0 < y < 2. P(X <…

A: Given that the joint probability density function of x and y is, Compute

Q: let X and Y have the joint density e (x+y) for 0<x,y<∞ f(x.y)= other wise then X and Y are Not…

A: Answer: Stochastically Independent.

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Q: 4.14 Find the proportion X of individuals who can be expected to respond to a certain mail-order…

A: Given,f(x)=2(x+2)5    ;  0&lt;x&lt;10                ; elsewhere

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Q: 1 'If fx(x)=- -x² /2 find the density function for Y

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