3. Consider the results of a recent survey of 200 randomly selected Mason students. StatePrefer Action Prefer Prefer Movies 40 20 Total Movies Romance Comedy Arkansas California Total 60 50 110 Movies 10 20 30 110 90 200 60 Identify the events (e.g., A: Arkansas), phrase each of the problems below using the events, set and probability notation (e.g, P(RIA)) a. What is the probability that a student prefers Action Movies? b. What is the probability that a student's home state is California? c. If the student's home state is Arkansas, what is the probability that the student prefers Romance Movies? If the student's home state is California, what is the probability that the student prefers Romance or Comedy movies? d. e. Is the type of movie preferred independent of the student's home state? Use a formula and data from the table to justify your