(1 point) Rework problem 2 from section 3.4 of your text, involving probabilities on a tree diagram. Construct a copy of figure 3.16 in your text, where the first outcome is one of X and Y the second outcome is one of A and B if the first outcome is X, and one of A. B, and C if the first outcome is Y. Use the following probabilities instead of those given in your text: Pr[X] = 0.8 Pr[Y] = 0.2 Pr[A|X] = 0.6 Pr[B|X] = 0.4 Pr[A|Y] = 0.4 Pr[B|Y] = 0.2 Pr[C|Y] = 0.4 Find the following missing probabilities: (1) Pr[A] = .24 (2) Pr[X IA] = 555 (3) PriYIB] = as (4) Pr[B|Y] = .2 i as