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. (40%) ARSOLUUTE EREOUENCIES Excellent

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2.
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. (40%)
ABSOLUTE FREQUENCIES
Excellent
Fair potential for
Good potential
Totals
potential for
advancement
advancement
for advancement
Below average sales ability
10
15
25
Average sales ability
55
65
30
Above average sales ability
85
90
125
Totals
RELATIVE FREQUENCIES
Excellent
Fair potential for
Good potential
potential for
Totals
advancement
for advancement
advancement
Below average sales ability
10
15
25
Average sales ability
Above average sales ability
55
65
30
85
90
125
Totals
PERCENTAGES
Excellent
Fair potential for
Good potential
potential for
Totals
advancement
for advancement
advancement
Below average sales ability
10
15
25
Average sales ability
55
65
30
Above average sales ability
85
90
125
Totals
а.
Complete the table for RELATIVE FREQUENCIES and PERCENTAGES using the ABSOLUTE FREQUENCIES
CONTINGENCY TABLE.
b. What is the probability that the randomly selected salesperson is below average in sales ability?
с.
What is the probability that the randomly selected salesperson is below average or average in sales
ability?
d. 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
е.
has an excellent potential for advancement?
f.
If a selected salesperson has an excellent potential for advancement, what is the probability of that
salesperson being of average sales ability?
g. If the salesperson is above average in sales ability, what is the probability of that salesperson having a
fair potential for advancement?
h. 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?
Transcribed Image Text:2. 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. (40%) ABSOLUTE FREQUENCIES Excellent Fair potential for Good potential Totals potential for advancement advancement for advancement Below average sales ability 10 15 25 Average sales ability 55 65 30 Above average sales ability 85 90 125 Totals RELATIVE FREQUENCIES Excellent Fair potential for Good potential potential for Totals advancement for advancement advancement Below average sales ability 10 15 25 Average sales ability Above average sales ability 55 65 30 85 90 125 Totals PERCENTAGES Excellent Fair potential for Good potential potential for Totals advancement for advancement advancement Below average sales ability 10 15 25 Average sales ability 55 65 30 Above average sales ability 85 90 125 Totals а. Complete the table for RELATIVE FREQUENCIES and PERCENTAGES using the ABSOLUTE FREQUENCIES CONTINGENCY TABLE. b. What is the probability that the randomly selected salesperson is below average in sales ability? с. What is the probability that the randomly selected salesperson is below average or average in sales ability? d. 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 е. has an excellent potential for advancement? f. If a selected salesperson has an excellent potential for advancement, what is the probability of that salesperson being of average sales ability? g. If the salesperson is above average in sales ability, what is the probability of that salesperson having a fair potential for advancement? h. 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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