18. In transmitting a bit from location A to-location B, if we let X denote the value of the bit sent at location A and Y the value received at location B, then H(X) Hy(X) is called the rate of transmission of information from A to B. The maximal, rate of transmission, as a function of P(X-1)-

1P(X=0), is called the channel capacity. Show that for a binary symmetric channel with P(Y= 1/X = 1) = P(Y=0X = 0] = p, the