A bivariate random variable (X,Y) has joint probability density function (pdf):f(t,u) = 0, otherwise.Find the marginal distributions of X and the marginal distribution of Y. Use this to determine whether X and Y are independent. Find the conditional pdf of Y given that X = L. Let the random variables U and V be defined by:X = UY = VFind the joint pdf of (U,V) and clearly specify the domain of U and V. Also, find the marginal pdf of U.
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