The percent frequency distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers are as follows. The scores range from a low of 1 (very dissatisfied) to a high of 5 (very satisfied).
Job Satisfaction Score |
IS Senior Executives (%) |
IS Middle Managers (%) |
1 | 5 | 4 |
2 | 9 | 10 |
3 | 3 | 12 |
4 | 42 | 46 |
5 | 41 | 28 |
a.
Construct a probability distribution for the job satisfaction score of a senior executive.
Calculation:
The data represents the percent frequency distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers. The range of scores is from 1 (very dissatisfied) to 5 (very satisfied).
Here, the total number of IS senior executives is 100. The corresponding probabilities of the random variable x are obtained by dividing the percentage of IS senior executives by total number of IS senior executives.
That is,
For example,
b.
Construct a probability distribution for the job satisfaction score of a middle manager.
c.
Find the probability that a senior executive will report a job satisfaction score of 4 or 5.
d.
Find the probability that a middle manager is very satisfied.
e.
Compare the overall job satisfaction of senior executives and middle managers.
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