The employees at a General Motors assembly plant are polled as they leave work. Each is asked, “What brand of automobile are you riding home in?” The random variable to be reported is the number of each brand mentioned. Is x a binomial random variable?
It is not a binomial random variable. To be a BRV it had to meet 4 criteria one of which is the answer has to be a success or a failure to a question, "bi". Getting a list of brands is not a yes or no, failure or success situation.
