In each of the following cases, decide whether a binomial distribution is an appropriate model, and give your reasons. 1. a firm uses a computer-based training module to prepare 20 machinists to use new numerically controlled lathes. the module contains a test at the end of the course; x is the number who perform satisfactorily on the test. 2. the list of potential product testers for a new product contains 100 persons chosen at random from the adult residents of a large city. each person on the list is asked whether he or she would participate in the study if given the chance; x is the number who say "yes". 3. either in a job you currently have or one that you would like to have, describe a data set you could collect that would be in the binomial setting.