each alesperson at Puchett , sheets and Hogan insurance Agency, is rated aither

Question

each alesperson at Puchett , sheets and Hogan insurance Agency, is rated aither bellow average, average or above average with respect to sales ability. each salesperson os also rated with respect to his or her potential for advancement either fair, good or exelent. these traits for the 500 salespeople were cross-classified into the following table.

POTENTIAL FOR ADVANCEMENT

A. what is the probability a salesperson selected at random will have an above average sales ability and exelent potential for advancement?

B. construct a tree diagram showing all the probabilities, conditional probabilities and join probabilities.

Sales Ability fair good exelent bellow averge 16 12 22 average 45 60 45 above average 93 72 135

Explanation / Answer

a) the probability a salesperson selected at random will have an above average sales ability and exelent potential for advancement

= 135/Total

=135/500

= 0.27

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B) Prob for fair = 154/500

Prob for fair/ below average = 16/50

Prob for below average /fair = 16/154

Prob for fair /average = 45/150

Prob for averge/fair = 45/154

Prob for fair/above avg = 93/200

Prob for above avg / fair = 93/154

and so on.

Sales Ability fair good exelent bellow averge 16 12 22 50 average 45 60 45 150 above average 93 72 135 300 154 144 202 500

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