A study reveals that the number of goals per match in the world cup can be approximated by a Poisson distribution, with a mean of 2.5. (a) Find the probability of 4 goals in a match (4 decimals). (3 marks) Answer: (b) If there have been already two goals in a match, what is the probability that there are four goals at the end of the match (4 decimals)? (6 marks) Answer: (c) If there are already two goals in a match, what is the probability that there are at least four goals at the end of the match (4 decimals)? (6 marks)