subjeact name(Information thoery and coding)

Q#2: (5 Marks) Time-varying channels. Consider a time-varying discrete memory less channel. Let Y, Yeminimina Ya be conditionally independent given X1, X2, ..., Xn, with conditional distribution given by ply|x) =11"-1 P:(Xi :). 1-P 0 P: P. 1-P Let X = (X1, X2 X,Y = (Y, Y3, ..., Y.). Find max p() I(X; Y)