Let X and Y be jointly continuous random variables with joint PDF given by: fxy(x,y) = X (1+3y²) I (0₁2) (X) I (0,1) (y) 4 a. Find the conditional PDF of X given y b. Find P ( ₁1 < x < 1/₂ | Y = £) c. Find the marginal PDF of X,

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A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

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A: Note: Hi there! Thank you for posting the questions. As there are multiple sub parts, according to…

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