The following probability distributions of job satisfaction scores for a sample

Question

The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers range from a low of 1 (very dissatisfied) to a high of 5 (very satisfied).

a. What is the expected value of the job satisfaction score for senior executives?

b. What is the expected value of the job satisfaction score for middle managers?

c. Compute the variance of job satisfaction scores for executives and middle managers.

d, Compute the standard deviation of job satisfaction scores for both probability distributions.

e. Compare the overall job satisfaction of senior executives and middle managers.

Probability

Job Satisfaction Score

IS Senior Executives

IS Middle Managers

1

.05

.04

2

.09

.10

3

.03

.12

4

.42

.46

5

.41

.28

Probability

Job Satisfaction Score

IS Senior Executives

IS Middle Managers

1

.05

.04

2

.09

.10

3

.03

.12

4

.42

.46

5

.41

.28

Explanation / Answer

a.The expected value of the job satisfaction score for senior executives:

1*0.05+2*0.09+…+5*0.41=4.05

b.The expected value of the job satisfaction score for middle managers is:

1*0.04+…+5*0.28=3.84

c.The variance of job satisfaction scores for executives:

(1-4.05)^2*0.05+…+(5-4.05)^2*0.41

=1.2475

The variance of job satisfaction scores for middle managers:

(1-3.84)^2*0.4+…+(5-3.84)^2*0.28

=1.1344

d.The standard deviation of job satisfaction scores for executives:

sq rt of 1.2475=1.11

The standard deviation for middle managers: sq rt of 1.1344=1.06

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