Consider the bivariate density fxycxy for 0ltxlt1

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Consider the bivariate density f(x,y)=c(x+y) for 0<=x<1, 0<=y<1

a) Obtain the appropriate normalization constant c.

b) Obtain the marginal densities for X and Y, and calculate their means and variances.

c) Obtain the covariance between X and Y, and check whether the random variables are independent.

d) Obtain the conditional distribution of Y, given that X=x

Reference no: EM13618389

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