Bonus Problem (+6pts) For the following problem, state which distribution should be used to solve the problem and then solve the problem. 1. A bank receives an average of 8 bad checks per day. What is the probability that during a five day bank week, the bank will receive 50 bad checks? 2. It is commonly stated that one out of every two marriages will end in divorce. Assuming this is true, what is the probability that of ten randomly selected married couples, seven of the couples' marriages end in divorce? 3. Suppose that some of the local dog breeders' ten newborns have a genetic birth defect that will only appear later in life. Due to the high expense of the testing, the breeder randomly chooses only three puppies to test for the genetic birth defect. What is the probability that one of the puppies will test positive for a genetic birth defect?