With solutions please. thanks

Assignment Questions 1. [9 marks] Suppose P(A) = 0.24, P(B) = 0.33, P(C) = 0.4, P(B n C) = 0.28, P(An B n C) = 0.01, and P(An B n C) = 0.04. a) [1 mark] Draw a Venn diagram. Label events A, B, and C. State P(A), P(B), and P(C) in the proper locations. b) [1 mark] Draw another copy of your Venn diagram. Label events A, B, and C. Shade the region corresponding to P(B n C) . Notice that this is not the same as P(B). See the review questions for week 4 for examples of shaded Venn diagrams. Do not state any probabilities in this copy of your Venn diagram. c) [2 marks] Calculate P(C | B). d) [1 mark] Draw another copy of your Venn diagram. Label events A, B, and C. Shade the region corresponding to P(B n C). Do not state any probabilities in this copy of your Venn diagram. e) [1 mark] Draw another copy of your Venn diagram. Label events A, B, and C. Shade the region corresponding to P(An B n C). Do not state any probabilities in this copy of your Venn diagram. f) [1 mark] Draw another copy of your Venn diagram. Label events A, B, and C. Shade the region corresponding to P(An B n C). Do not state any probabilities in this copy of your Venn diagram. g) [2 marks] Calculate P(A U (B n C) ). Hint: P(An (B n C)) = P(An B n C). The question is looking for the probability of the union between the event "A" and the event "B intersect C"