answer all questions with explanation

Exercise 1: The Department of Statistics at Anytown College hosts a daily welcome-backtocarnpus event for the rst week, where they give out free lunches and t-shirts. In order to receive these freebies, the student must: 0 Currently taking a Statistics class. 0 Have a Statistics major or minor. Based on past data, of the students who attempt to get the freebies, 85% are currently taking 3. Statistics class, and 60% have a Statistics major/minor. Assume that each student is independent from one another. And the events {currently taking a Statistics class} and {have a Statistics major/minor} are independent (In reality, this is likely not the case). a) What is the probability that the fourth student attempts to get the freebies is the rst student to have a Statistics major/minor? b) What is the probability that all of the rst 5 students (attempting to get the freebies) satisfy both requirements