This problem in Biostats class .. please i need the answer of this question and all parts "a,b,c,d&e" include all the steps for each... thank you!

4. (10 points) In a study of drug-induced anaphylaxis among patients taking rocuronium bromide as part of their anesthesia, Laake and Rottingen found that the occurrence of anaphylaxis followed a Poisson model with A = 12 incidents per year in Norway. Answer the following: (a) Find the probability that in the next year, among patients receiving rocuronium, exactly three will experience anaphylaxis. (b) What is the probability that at least three patients in the next year will experience anaphylaxis if rocuronium is administered with anesthesia? (c) What is the probability that between 10 and 15 patients, inclusively, will have anaphylaxis? (d) What is the average number of patients? (e) What is the standard deviation of the number of patients