3. CLO4 Let X be a continuous random variable with probability density function (pdf) Ix(x)= (2r 0≤x≤1 0 otherwise and let the random variable Y given X = r be uniformly distributed on [-x,x]. (a) Obtain the marginal probability density function of Y. MAT 263 Probability Theory Assignment 2- Page 3 of 3 NSAN (b) Compute Cor(X, Y). (c) Compute P(Y|

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A: in case of bivariate CDF in our problem

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A:

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A: i) For joint pdf,  ∬fx(x,y) dx dy = 1 so,  k∬x2+y2 dx dy = 1k∫0113+y2 dy =…

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A:

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A: Given PDF is p(x, y) = kx2y,x=1, 2,  y=1, 2, 30,otherwise

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A:

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A: Please see the next step for solution.

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A: answer is provided in detail in explanation section  Explanation:

Q: 0, x)

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A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

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A: