2. Let the bivariate continuous random vector (X,Y) have the following joint probability density function: {; c 0

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A: The joint density function is given below:

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A: Please check the solution  below

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A: Solution: From the given information, the probability density function of X is

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A:

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A: We will use Jacobian method of transformation to find the joint pdf of U and V.

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A: As per the guidelines we can solve first three sub parts, Kindly repost the other questions for…

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A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

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A:

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A:

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A: Given, The density function of X1 as: Conditional distribution of X2 given X1=x1 is:

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Q: 2. Let the bivariate continuous random vector (X,Y) have the following joint probability density…

A: As per our guidelines, we can solve only three subparts, Kindly repost others for answers.

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A: Solution

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A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted…

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A:

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A: We know that, if there is a function f(x) and the integration of f(x) over the given range is 1.…

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A: From the given information, the joint density function for X and Y is, The constant c value is…