Compute the conditional mean and variance of X

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Question: Suppose that a point (X, Y) is chosen according to the uniform distribution on the triangle with vertices (0, 0), (0, 1), (1, 0). Calculate:

a) the mean and variance of X:

b) the conditional mean and variance of X given that Y = 1/3:

c) the mean and variance of max (X, Y):

d) the mean and variance of min (X, Y).

Reference no: EM131811726

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