This is a Coding & Information Theory question

5.(18%) (Binary Symmetric Cannel) Let I be the BSC. Its input alphabet A = 2 ={0.1} and its output alphabet B = Z2 ={0, 1}. Its probabilities have the form Po = Pr(a = 0) = p and p. = Pr(a = 1) = p =1-p for some p such that 0 sp s 1. Its channel matrix has the form (Poo Poll ( M= PLO PL ( P for some P where 0 s P Q10 is p > P 5.(18%) (Binary Symmetric Cannel) Let I be the BSC. Its input alphabet A = 2 ={0.1} and its output alphabet B = Z2 ={0, 1}. Its probabilities have the form Po = Pr(a = 0) = p and p. = Pr(a = 1) = p =1-p for some p such that 0 sp s 1. Its channel matrix has the form (Poo Poll ( M= PLO PL ( P for some P where 0 s P Q10 is p > P