The binary entropy function Let X 1 with probability p; 0 with probability 1 p: Plot H(X) as a function of p. Prove the

The binary entropy function Let X ¼

1 with probability p;

0 with probability 1 p:

Plot H(X) as a function of p. Prove the maximum occurs when the likelihoods of the two outcomes are equal.

Input 1-p 1-p Figure 2.10 The binary symmetric channel. Output 0