Consider messages of length L >> 2 constructed from just two symbols (N = 2),which occur with frequencies p and (1− p). Plot the average information per symbol I̅ (p) in such messages, as a function of p. Explain why your plot has a maximum I̅ = 1 when p = 1/2, and has I̅ = 0 when p = 0 and when p = 1.