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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