Top quality hand written solutions in electrical engineering
1. (20 points) Answer the following concept questions. (a) If two events are mutually exclusive, are they independent as well? (b) If three events form a partition of a sample space, what is true about the probabilities of those three events? (c) In general, is the conditional probability of two events smaller or larger than the joint probability ? (d) I have calculated that the CDF of a random variable X is 0.1 when x = 1 and 0.09 when x = 2. Do you have enough infor- mation to know if I have done this correctly, and if so, did I get it right ? (e) I have two coins. One is fair and one isn’t. Which one will have the higher entropy ?