Consider the following events: X = student gets an B+ on paper 1 Y = student gets an B+ on paper 2 Suppose that P(X) = 0.3, P(Y) = 0.28, and P(X Y) = 0.2. a. Are X and Y independent? Demonstrate it quantitatively and explain what it means in words. b. Find the probability that a student gets a B+ on at least one of the papers. c. Find the probability that a student gets no B +s. d. Find the probability that a student gets a B+ on exactly one of the papers..