A survey asks 1200 workers, "Has the economy forced you to reduce the amount of vacation you plan to take this year?" Thirty-nine percent of those surveyed say they are reducing the amount of vacation. Thirty 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 $x$. Is the experiment a binomial experiment? Yes No

Step 1 ：The experiment can be considered a binomial experiment if it meets the following conditions: 1. The experiment consists of a fixed number of trials. 2. Each trial can result in just two possible outcomes. We call one of these outcomes a success and the other, a failure. 3. The probability of success, denoted by P, is the same on every trial. 4. The trials are independent; the outcome on one trial does not affect the outcome on other trials.

Step 2 ：In this case, the experiment is asking a fixed number of workers (30) a question that can result in two possible outcomes (reducing vacation or not). The probability of success (a worker reducing vacation) is the same for each worker (39% of 1200 workers). The outcome for one worker does not affect the outcome for another worker. Therefore, this experiment can be considered a binomial experiment.

Step 3 ：A success in this experiment is a worker reducing the amount of vacation.

Step 4 ：The values of \(n, p\), and \(q\) are as follows: \(n\) is the number of trials, which is the number of workers randomly selected, so \(n = 30\). \(p\) is the probability of success on a single trial, which is the proportion of workers reducing vacation, so \(p = 0.39\). \(q\) is the probability of failure on a single trial, which is the proportion of workers not reducing vacation, so \(q = 1 - p = 0.61\).

Step 5 ：The possible values of the random variable \(x\) are the number of successes in \(n\) trials, which can range from 0 (no workers reducing vacation) to 30 (all workers reducing vacation).

Step 6 ：\(\boxed{\text{The experiment is a binomial experiment. A success is a worker reducing the amount of vacation. The values of } n, p, \text{ and } q \text{ are } n = 30, p = 0.39, \text{ and } q = 0.61. \text{ The possible values of the random variable } x \text{ are 0 through 30.}}\)