1) Assume the following joint probability distribution: P(x,y) 1 X 3 5 сл 2 0.1 0 0.1 y 5 0.3 0.1 0.1 0 8 0.1 0.2 Find the conditional mean, variance and standard deviation of x ly=5 Find the conditional distribution of y given x = 5. Find the conditional mean, variance, and standard deviation of y|x=5.

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