Suppose you encounter two traffic lights on your commute to school. You estimate that the probability is .5 that the first light will be red when you get to it, .4 that the second light will be red, and .6 that at least one of the lights will be red. a) Determine the probability that both lights will be red. b) Consider the random variable, which is the number of red lights that you encounter on this commute. Determine its probability distribution by listing its possible values and their probabilities. c) Calculate and interpret the expected value of the number of red lights that you encounter