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The continuous random variables X and Y have joint probability density function 4$e_l+yl for [I

The continuous random variables X and Y have joint probability density function for O < < y < c otherwise (a) Derive the marginal probability density function of X and deduce the mean and variance of X. (b) Derive the conditional probability density function of Y given X = and deduce the conditional mean of Y given that X = .rr (that is, E[YIX =