2. Observation of a waiting line at a medical clinic indicates the probability that a new arrival will be an emergency case is p = =. Assume conditions of the patients represent independent events. (a) [2 pts] If 7 patients arrive what is the expected number of emergencies? Justify your answer with calculation or justify your choice of formula. (b) [4 pts] If the clinic only has 2 emergency beds what is the chance they will not be able to handle all of the emergency cases from these 7 incoming patients. (c) [4 pts] Find the probability that the 5th and 6th patients are the only emergency cases of these 7 patients (d) [4 pts] Find the probability that the 5th patient is the first emergency case in these 7 patients