2. Use the data given below to answer the following questionvis). 15 students were asked to choose between the broad categories of Arts, Science, and Math as their preferred area of study. Respondent Gender Preference 1 Female Arts 2 Male Science 3 Male Math 4 Female Arts 5 Female Math 5 Male Science 1? Male Math 3 Male Math 9 Female Arts 11] Male Arts 11 Male Science 12 Female Science 13 Female Math 14 Male Arts 15 Female Arts A. 1't'ti'hat is the probability that a respondent is male and prefers Arts? B. 'What is the probability that a respondent prefers Science given that the respondent is female? C. Use the multiplication law of probability to compute the probability that the respondent is male and prefers Math. D. Prove that the events that a respondent is female and chooses Math are not independent