Question 1. Random variables X and Y take values in {1,2,3}. Their joint pmf is shown in the following table. Find E[XY] and E[Y|X]. X = 1 X=2 X = 3 Y = 1 Y = 2 Y = 3 0.1 0 0.2 0 0.3 0 0.2 0.2 0

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A: a) It is given that, E(X) = 2, E(Y) = 3, E(XY) = 10, E(X2) = 9 and E(Y2) = 16.

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Q: 12. You are given an easier way to compute covariance: COV(X,Y)=E(XY)-E(X)*E(Y). Use this to compute…

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Q: 0.1. Find P(E U F). 0.1 and P(F) The two events E and F are independent with P(E) = X

A: to work out the required probabilty

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