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?