Discuss the following:
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 sales people were cross classified into the following table.
fair good excellent
below average 16 12 22
average 45 60 45
above average 93 72 135
a. What is this table called?
b. What is the probability a salesperson selected at random will have above average sales ability and excellent potential for advancement?
c. Construct a tree diagram showing all probabilities, conditional probability, and joint probability.