Ten students apply for a job opening, but only 1 of the students will be selected. The employer choc-' randomly; all ten outcomes are equally likely. If person 3, 5, 7, or 9 gets the job, let X = 1; otherwise, X = 0. If person 1, 2, 3, 4, or 5 gets the job, lei Y = 1; otherwise, Y = 0. Are X and Y independent random variables? Justify your answer.