MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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  1. 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

 

 

  1. Complete the table for RELATIVE FREQUENCIES and PERCENTAGES using the ABSOLUTE FREQUENCIES CONTINGENCY TABLE.
  2. What is the probability that the randomly selected salesperson is below average in sales ability?
  3. What is the probability that the randomly selected salesperson is below average or average in sales ability?
  4. What is the probability that the randomly selected salesperson has neither a fair or good potential for advancement?
  5. If a selected salesperson is above average in sales ability, what is the probability of that salesperson also has an excellent potential for advancement?
  6. If a selected salesperson has an excellent potential for advancement, what is the probability of that salesperson being of average sales ability?
  7. If the salesperson is above average in sales ability, what is the probability of that salesperson having a fair potential for advancement?
  8. 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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