# Probability problems

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?

https://brainmass.com/statistics/probability/probability-salespersons-potential-254760

#### Solution Summary

The solution provides step by step method for the calculation of probability. Formula for the calculation and interpretations of the results are also included.