1. Probability: The entropy of a discrete random variable X is defined as: - P(x) In P(x) (1) CEX (a) Compute the entropy of the distribution P(x) = Multinomial([0.5, 0.4, 0.1]). = (b) Compute the entropy of the uniform distribution P(x) = m Vx [1, m]. = (c) Plot the entropy of the Bernoulli distribution: H(X) = -o ln(0) (1 - 0) In(1-0), with (i.e., the probability of drawing a 1) ranging from 0 to 1 on the x-axis. Where does its entropy peak? Where is its minimum? Why do you think this is