4. PSU reported that the overall probability that an applicant is accepted into PSU is 0.055. For early applicants, the probability of being accepted is 0175. For regular applicants, the probability of being accepted is 0.037. For this problem, please ignore the possibility of being deferred or waitlisted (assume everyone is either accepted or rejected). Let's dene 2 events: A : accepted into PSU and E : applied via early admission. (a) (2 pts) Are the events (accepted into PSU) and (applied via early admission) independent? How do you know? (b) (1 pt) What is the probability that an applicant was rejected overall? (c) (Bonus 3 pts) What is the probability that an accepted applicant applied via early admission given we know they were accepted into PSU