In each of the following cases, decide whether or not a binomial distribution is an appropriate model, and give your reasons.
a) A firm uses a computer-based training module to prepare 20 machinist 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.
b) The list of potential product testers for a new product contains 100 person 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".