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Posted: **Thu Feb 17, 2022 11:01 am**

: 4 30 Points Let X Y And Z Be Three Random Variables Prove The Following Inequalities And Find The Conditions For E 1 (19.1 KiB) Viewed 73 times

4. (30 Points) Let X, Y, and Z be three random variables. Prove the following inequalities and find the conditions for equality: a) (10 Points) H(X,Y|Z) > H(X|Z) b) (10 Points) I(X,Y;Z) 2 1(X; 2) c) (10 Points) H(X,Y,Z) - H(X,Y) SH(X,Z) - H(X)