Let the joint probability density function of (X, Y) be given by 1 f(x, y) = 10x' Find Cov(X, Y) and Corr(X,Y) 0, 0 ≤ x ≤10 and 0 ≤ y ≤ x otherwise

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Q: A supplier of kerosene has a weekly demand Y possessing a probability density function given by…

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A: Given data:X and Y = two discrete random variables∴P(x,y) = c(2x+3y), 0⩽x⩽2 , 0⩽y⩽30,  otherwiseTo…

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A: Solution: From the given information, X follows uniform distribution with parameters a=3 and b=5.

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Q: x³y, if 0<x<2 and 0< y<1 f(x,y) = 0, otherwise

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Q: (c) Find the marginal distribution of X and Y. (d) What is Cov(X,Y)? (e) Find the probability…

A: Here we have given the joint probability density function of random variables x and y. We have to…

Q: a) E(X), E(X²) and E[(X − 1)²] b) Var(X) and ox

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

Q: the cumulative distribution function (odf) of the random vamable x x < 1 is given by f(x) = 0 -3…

A: The density function of X can be obtained by differentiating the F(x) with respect to x.

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A: f(x,y)=c(x+y)   ; x=1,2,3 and y=1,2,3

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Q: Suppose you have two independent random variables X ~ Exponential(A1) and Y Exponential(A2), d1 > 0,…

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