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Question 3 [10 marks] Question 3: There have been 24 James Bond movies. The first, Dr. No, was released in 1962, and the 25th is scheduled for release in April 2020. A recent survey asked participants to name the actor who is the best James Bond (in their opinion). The table represents the proportion of people who selected each actor. Assume this table is representative of the American movie-going public. One person is selected at random and asked which actor is the best James Bond. Consider the events: 1. A= best actor is Daniel Craig, George Lazenby, or Timothy Actor Proportion Dalton. Sean Connery 0.43 2. B= best actor is not Sean Connery. Roger Moore 0.14 3. C= not sure of the best actor. Pierce Brosnan 0.1 Find the following probabilities. Daniel Craig 0.07 a. [3 marks, 1 each] P(A), P(B), and P(C) George Lazenby 0.02 Timothy Dalton 0.02 b. [4 marks, 1, 2, 1] [P(A n B), P(A U C), and P(B UC) Not sure 0.22 c. [3 marks, 1 each] P(C'), P(A' U B), and P(B'n C)