1A. A hоspitаl receives supplies оf а certаin medicatiоn from three different manufacturers: Manufacturer A, Manufacturer B, and Manufacturer C. The proportions of supplies from these manufacturers are 40%, 35%, and 25% respectively. The probabilities that a batch from these manufacturers is faulty are 1%, 3%, and 5% respectively. If a batch is found to be faulty, what is the probability that it came from Manufacturer C? Please show all your work, first write the formulas you are using then plug in the given value. (4 points) 1B. A large metropolitan area reports 3.6 traffic fatalities a day on average. Determine the probability of no traffic fatalities in given two hours. In between 1 to 4, inclusive, in given five hours. Write what formula are you using and show the numerical values of individual terms. (4 points) 1C. A pool company's records show that the probability is 0.2 that one of it's new pools will require repairs within a year. What is the probability that the sixth pool builds in a given year will be the first to require repairs within a year? Mention what distribution are you using. (2 points)