3. (30 Points) The discrete random variables X and Y have the following joint probability mass function, p(x,y): 1 0 1/4

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3 30 Points The Discrete Random Variables X And Y Have The Following Joint Probability Mass Function P X Y 1 0 1 4 1 (33.58 KiB) Viewed 66 times

3. (30 Points) The discrete random variables X and Y have the following joint probability mass function, p(x,y): 1 0 1/4 Y 0 1/4 1/2 0 1 X a) (6 Points) Calculate H(X) and H(Y). b) (6 Points) Calculate H(XY) and H(YX). c) (6 Points) Calculate H(X,Y). d) (6 Points) Calculate 1(X;Y). e) (6 Points) Draw a Venn diagram to illustrate the quantities found in parts (a)-(e).