Each salesperson at Puchett, Sheets, and Hogan Insurance Agency is rated either below average, average, or above average with respect to sales ability. Each salesperson also is rated with respect to his or her potential for advancementeither fair, good, or excellent. These traits for the 500 salespeople were cross-classified into the following table.

Potential for Advancement Sales Ability Fair Good Excellent Below average 16 12 22 Average 45 60 45 Above average 93 72 135 What is this table called?

What is the probability a salesperson selected at random will have above average sales ability and excellent potential for advancement?

Construct a tree diagram showing all the probabilities, conditional probabilities, and joint probabilities.