Joint Entropy Calculation - Worked Exercise

Joint Entropy Calculation - Worked Exercise (Information Theory)
This exercise involves understanding the relationship between two random variables X and Y in a noisy communication channel, both of which can take on the values {a, b, c}. The joint distribution of these variables is given in a table, detailing the probabilities of each pair (X, Y). The tasks include determining the marginal distributions for X and Y, calculating their marginal entropies H(X) and H(Y), and computing the joint entropy H(X, Y). These calculations provide insights into the uncertainty and information content of the variables individually and jointly, which is crucial for understanding the efficiency of information transmission through the channel.