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Question

Engineering Mathematics Question on Random variables

Which of the following are correct for X, Y as random variable
A. H(X)>H(X/Y)H(X)>H(X/Y)
B. H(X+Y)H(X)+H(Y)H(X+Y) ≤H(X)+H(Y)
C. If X and Y are independent H(X/Y)=H(YIX)H(X/Y) = H(YIX)
D. Mutual information (X,Y)=H(X/Y)H(Y/X)(X, Y)=H(X/Y)-H(Y/X)
E. If X and Y are independent (X;Y)=0|(X;Y)=0
Choose the correct answer from the options given below.

A

A, C, E only

B

A, B, D only

C

B, C, D only

D

A, B, E only

Answer

A, B, E only

Explanation

Solution

The Correct answer is option (D) : A, B, E only