6. The amount of kerosene, in thousands of liters, in a tank at the be ginning of any day is a random amount Y from which a random amount X is sold during that day. Suppose that the tank is not resupplied during the day so that X SY, and assume that the joint density function of these variables is f(x, y) = {" {2,0 < x < y<1 0, ot herwise a) Determine if X and Y are independent b) Find P < x < IY =5

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A: We have given that,  Let x is a random variable having probability density function is,  f(x) =…

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A: The PDF of X and Y is given as:Also, the given transformation is:U=5XYandV=8X

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A:

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A: The PDF of X and Y is given as:Also, the given transformation is:U=9XYandV=10X

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A:

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A:

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A:

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A:

Q: Let X and Y have the following joint probability density function: fX,Y(x,y) = 1 / (x2 y2), for…

A: The PDF of X and Y is given as:Also, the given transformation is:U=5XYandV=8X