At the local ER, seventeen percent injuries are life threatening and require hospitalization. Suppose we know that that fifty-seven percent of injuries are non-life threatening and twenty-five percent of injuries require hospitalization. A patient at the local ER is selected. a) Define the events. b) Write down the given probabilities. c) What is the probability that they require hospitalization if they have a life threatening injury? Use the proper notation. cl) What is the probability that they do not require hospitalization if they have a life threatening injury? e) For injuries seen at the local ER, are the events being life threatening and requiring hospitalization mutually exclusive? If not, explain mathematically