5- Let X and Y be random variables having joint density function P(x.y)={cC2x 0 < x < 1,0 < y< 2 otherwise P(x,y)={c(2x+ y) Find (a) the constant c (b) P(X>0.5,Y>1.5). (c) p(x) and p(y).

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Q: 5. Let X, Y be iid random variables each with density fx(x) = for x > 1 and zero otherwise. (a) (b)…

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Q: a) A continuous random variable Y has density function 3-2y f(y)={3 e „y > 0 ,elsewhere Find the…

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Q: B) The joint density function of two continuous random variables X and Y is Scxy 0<x< 4, 1 < y < 5…

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Q: 15. Let X and Y be continuous random variables with joint density function 24xy for x>0, y>0,…

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A: where, ∫-∞∞∫-∞∞ f ( x,y ) dx dy = 1 x range is from y to 1,44 and y range is from 0 to x therefore,…

Q: nd the probability density of the sum W = X + Y.

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Q: 1. The joint density for the random variables (X, Y) is given below. 2(r+2y) for 0<I< 1,0<y<1 f(1,u)…

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Q: 37 Let X and Y be random variables having joint density function for 0 <xs1,0sys1 fxy (*, y) =x+y =…

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Q: (1) Find marginal density of X. (2) Find conditional density of Y on X (3) Find P(2 <Y <3lx = 1).

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A: The conditional probability is defined as :   P(X|Y) = P(X,Y=y)P(Y=y)

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A: here given probability distribution of random variable X. f(x)  =   e-x  ,   for x &gt;=0         =…

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