A survey asks $2000$workers$,$ "Has the economy forced you to reduce the amount of vacation you plan to take this$$ year?" $38$ percent of those surveyed say they are reducing the amount of vacation. $20$ workers participating in the survey are randomly selected. The random variable represents the number of workers who are reducing the amount of vacation. Decide whether the experiment is a binomial experiment. If it$$ is$,$ identify a$$ success, specify the values of$$ n$,$ p$,$ and$$ q$,$ and list the possible values of the random variable x$.$