Arsenal are playing Liverpool at home in an English Premier Leagure (EPL) game this weekend. You think that the number of goals to be scored by both teams follow a Poisson distribution with a mean rate of 2.2 for Arsenal at home and a mean rate of 1.6 for Liverpool playing away. Given these distributions calculate the following 1. What’s the probability of a nil-nil (0 - 0) draw? 2. What’s the probability that Arsenal wins the match?