A selective college reports that their admission rate is 0.16. For early applicants, the probability of being accepted is 0.275. For regular applicants, the probability of being accepted is 0.10. Assume that a student can be either accepted or rejected (but not waitlisted or deferred).
(a) Are the events "applicant is accepted into selective college" and "applicant applied via early admission" independent? Why or why not?