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Q1) The joint probability density function of the random variables X and Y is given by...

Q1) The joint probability density function of the random variables X and Y is given by ??,? (?, ?) = { ?, 0 < ? < ? < 1 0, ??ℎ?????? a) Find the constant ? b) Find the marginal PDFs of X and Y. c) Find the conditional PDF of X given Y, i.e., ?(?|?) d) Find the variance of X given Y, i.e., ???(?|?) e) Are X and Y statistically independent? Explain why.

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