Concept explainers
- Each salesperson at Charlotte Steven’s Eyeglasses is rated either below average, average or above average with respect to sales abilities. Each salesperson also is rated with respect to her or his potential for advancement due to managerial talent—either fair, good, or excellent. These traits for the salespeople were cross-classified into the following table displaying absolute frequencies. Provide “decimals” for the relative frequencies.
ABSOLUTE FREQUENCIES |
Fair potential for advancement |
Good potential for advancement |
Excellent potential for advancement |
Totals |
Below average sales ability |
10 |
15 |
25 |
|
Average sales ability |
55 |
65 |
30 |
|
Above average sales ability |
85 |
90 |
125 |
|
Totals |
|
|
|
|
RELATIVE FREQUENCIES |
Fair potential for advancement |
Good potential for advancement |
Excellent potential for advancement |
Totals |
Below average sales ability |
10 |
15 |
25 |
|
Average sales ability |
55 |
65 |
30 |
|
Above average sales ability |
85 |
90 |
125 |
|
Totals |
|
|
|
|
PERCENTAGES |
Fair potential for advancement |
Good potential for advancement |
Excellent potential for advancement |
Totals |
Below average sales ability |
10 |
15 |
25 |
50 |
Average sales ability |
55 |
65 |
30 |
150 |
Above average sales ability |
85 |
90 |
125 |
300 |
Totals |
160 |
170 |
180 |
|
- Complete the table for RELATIVE FREQUENCIES and PERCENTAGES using the ABSOLUTE FREQUENCIES
CONTINGENCY TABLE . - What is the probability that the randomly selected salesperson is below average in sales ability?
- What is the probability that the randomly selected salesperson is below average or average in sales ability?
- What is the probability that the randomly selected salesperson has neither a fair or good potential for advancement?
- If a selected salesperson is above average in sales ability, what is the probability of that salesperson also has an excellent potential for advancement?
- If a selected salesperson has an excellent potential for advancement, what is the probability of that salesperson being of average sales ability?
- If the salesperson is above average in sales ability, what is the probability of that salesperson having a fair potential for advancement?
- If the salesperson is either average or above average in sales ability, what is the probability of that salesperson has only fair potential for advancement?
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