Question

PART A: Suppose X and Y are independent. Show that H(X|Y) = H(X) . (H represents entropy i think)

PART B: Suppose X and Y are independent. Show that H(X,Y) = H(X) + H(Y)

PART C: Prove that the mutual information is symmetric, i.e., I(X,Y) = I(Y,X) and xi∈X, yi∈Y

Answer 1

ANSWER::

Here part A,B ,C

(OR) TRY THIS  

PART A:

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

PART B:

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

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