6. Each salesperson in a large store chain is rated with respect to his sales ability and his potential for advancement. The data for the 500 sampled salespeople are summarized in the following table. Potential for Advancement Fair Good Excellent Below Average 16 12 22 Sales Ability Average 45 60 45 Above Average 93 72 135 (1) What is the probability that a salesperson selected at random will have average sales ability and good potential for advancement? (ii) What is the probability that a salesperson selected at random has above average sales ability or is an excellent potential for advancement? (iii) What is the probability that a salesperson selected at random will have an excellent potential for advancement given that his sales ability is average?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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6. Each salesperson in a large store chain is rated with respect to his sales ability and his
potential for advancement. The data for the 500 sampled salespeople are summarized
in the following table.
Potential for Advancement
Fair
Good
Excellent
Below Average
16
12
22
Sales Ability
Average
45
60
45
Above Average
93
72
135
(i) What is the probability that a salesperson selected at random will have average sales
ability and good potential for advancement?
(ii) What is the probability that a salesperson selected at random has above average
sales ability or is an excellent potential for advancement?
(ii) What is the probability that a salesperson selected at random will have an excellent
potential for advancement given that his sales ability is average?
(iv) What is the probability that a salesperson selected at random will not have fair
potential for advancement given that his sales ability is not below average?
Transcribed Image Text:6. Each salesperson in a large store chain is rated with respect to his sales ability and his potential for advancement. The data for the 500 sampled salespeople are summarized in the following table. Potential for Advancement Fair Good Excellent Below Average 16 12 22 Sales Ability Average 45 60 45 Above Average 93 72 135 (i) What is the probability that a salesperson selected at random will have average sales ability and good potential for advancement? (ii) What is the probability that a salesperson selected at random has above average sales ability or is an excellent potential for advancement? (ii) What is the probability that a salesperson selected at random will have an excellent potential for advancement given that his sales ability is average? (iv) What is the probability that a salesperson selected at random will not have fair potential for advancement given that his sales ability is not below average?
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