Consider a communication system that gives out only two symbols X and Y. Assume that the parameterization followed by the probabilities are P( X) : xk and P( Y) = (1 ad\") 0 Write down the entropy function and plot it as a function of x for k=2. (1 points) 0 From your plot, for what value of x with k=2 does H become a minimum? (1 points) 0 Your plot visually gives you the minimum value of x for k=2, find out a generalized formula for x in terms of k for which H is a minimum (3 points). 0 From your plot, for what value of x with k=2 does H become a maximum? (1 points) 0 Your plot visually gives you the maximum value of x for k=2, find out a generalized formula for x in terms of k for which H is a maximum (4 points)