2. Each salesperson at Stiles-Compton is rated either below average, average, or above average with respect to sales ability. Each salesperson is also rated with respect to his or her potential for advancement - either fair, good, or excellent. These traits for the 500 salespeople were cross-classified into the following table:
Fair Good Excellent
Below Average 16 12 22
Average 45 60 45
Above Average 93 72 135
(i) what is the probability that a salesperson is above average in sales with excellent potential for advancement?
(ii) If a salesperson has below average sales ability, what is the probability that they have an excellent potential for advancement?
(iii) If a salesperson has above average sales ability, what is the probability that they have excellent potential for advancement?
The solution provides step by step method for the calculation of probability. Formula for the calculation and interpretations of the results are also included.