. Each salesperson in a large department store chain is rated on their sales abi

Question

. 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 table below:
Sales Ability: Fair Good Excellent
Below Average 16 12 22
Average 45 60 45
Above Average 93 72 135



(a) What is the probability that a salesperson selected at random has above average sales ability and is an excellent potential for advancement?

(b) What is the probability that a salesperson selected at random will have average sales ability an and good potential for advancement?

(c) What is the probability that a salesperson selected at random will have below average sales ability and fair potential for advancement?

(d) What is the probability that a salesperson selected at random will have an excellent potential for advancement given they also have above average sales ability?

(e) What is the probability that a salesperson selected at random will have an excellent potential for advancement given they also have average sales ability?

Explanation / Answer

a. P(above average and excellent) = 135/500 =.27 b.P(average and good) = 60/500 = .12 c.P(below average and fair) = 16/500 = .032 d.P(excellent| above average) = 135/(135+72+93) = 135/300 = .45 e.P(excellent| average) = 45/(45+60+45) = 45/150 = .3

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