Please solve 1,2,3 thanks!

2 (10 points) Entropy and Conditional Entropy Given a discrete random variable X with possible values {xi,..., in^ and probability mass function P(X), the formula to compute entropy is ri For Y with possible values {i, ..., ^m), the conditional entropy of X conditioned on random variable Y is defined as P(Y = y,) The joint probability mass function of the random variables X and Y is given by the following table 0.2 0.1 0.2 0.1 1. Compute H(X) 2. Compute H(X|Y) 3. Compute H(XYy). Note that the entropy of X knowing Y y is defined