The random variables X and Y describe the outcome of two independent tosses with a dice Let Z = X + Y be the sum of the results. Determine (a) The probability distributions for X, Y and Z. (h) H(Y) H(Y) and H(Z).

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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1.
The random variables X and Y describe the outcome of two independent tosses with a dice.
Let Z = X+Y be the sum of the results. Determine
(a) The probability distributions for X, Y and Z.
(b) H(X), H(Y) and H(Z).
(c) H(YX), H(Z|X) and H(X|Z).
(d) I(X;Y) and I(X; Z).
Transcribed Image Text:1. The random variables X and Y describe the outcome of two independent tosses with a dice. Let Z = X+Y be the sum of the results. Determine (a) The probability distributions for X, Y and Z. (b) H(X), H(Y) and H(Z). (c) H(YX), H(Z|X) and H(X|Z). (d) I(X;Y) and I(X; Z).
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