Financial Sector Conforms yes no 1 10 15 2 3 10 15 30 20 Denote by A₁, A2, A3 the events the company comes from Sector 1,2 and 3 respectively and C and NC the events the company conforms or not conforms. Find the probability of: a) A company selected randomly belongs to Sector 2. b) A company selected randomly belongs to Sector 1 and does not conform to good RM practices. c) A company selected randomly belongs to Sector 1 or does not conform to good RM practices. d) Given that the company conforms to good RM practices, find the probability it belongs to Sector 1. e) Are the events A₂ and C independent? Justify.

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