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Suppose the joint probability distribution of two binary random variables X and Y are given as...

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Advance Math

Suppose the joint probability distribution of two binary randomvariables X and Y are given as follows.

x/y12
03/100
14/103/10

X goes along side as 0 and 1, Y goes along top as 1 and 2

e) Find joint entropy H(X, Y ).

f) Suppose X and Y are independent. Show that H(X|Y ) =H(X).

g) Suppose X and Y are independent. Show that H(X, Y ) = H(X) +H(Y ).

h) Show that I(X; X) = H(X).

please help with all parts!

thank you!

Answer & Explanation Solved by verified expert
3.6 Ratings (499 Votes)
SOLUTION given That joint probability distribution of binary random variable as shown in below xy 1 2 totalPXx 0 03 0 03 1 04 03 07 totalPYy 07 03 1 e find the joint    See Answer
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