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12 Problem 1 (8 marks) Each salesperson in a large department store chain is rated on...

Question:

12 Problem 1 (8 marks) Each salesperson in a large department store chain is rated on their sales ability and their potential

12 Problem 1 (8 marks) Each salesperson in a large department store chain is rated on their sales ability and their potential for advancement. The data for the 500 sampled salespeople are summarized in the following table. Potential for advancement Fair Good Excellent Below average 16 22 Sales Average 45 60 Ability 45 Above average 93 72 135 a) What is the probability that a salesperson selected at random has average sales ability? (1.5 marks) b) What is the probability that a salesperson selected at random has a fair potential for advancement? (1.5 marks) c) What is the probability that a salesperson selected at random has average sales ability and is a fair potential for advancement? (1 marks) d) What is the probability that a salesperson selected at random has average sales ability, knowing that he/she has a fair potential for advancement? (2 marks) e) Are the events "a salesperson selected at random has average sales ability" and “a salesperson selected at random has a fair potential for advancement" independents? (2 marks)

Answers

solution : many D. a) P(Average ) C10. n (Averages n (Total) 150 soo FEE 0.300 Eace b) P Hair) 154 nl Fair) n (total) 0.308 s

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