Assignment
The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives and IS middle managers range from a low of 1 (very dissatisfied) to a high of 5 ( very satisfied).
|
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
|
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 or both probability distributions.
e. Compare the overall job satisfaction of senior executives and middle managers.
The 2002 New York City Housing and Vacancy Survey showed a total of 59,324 rent controlled housing units and 236,263 rent stabilized units built in 1947 or later. For these rental units, the probability distributions for the number of persons living in the unit are given (www.census.gov, January 12, 2004).
|
Numbers of Persons
|
Rent Controlled
|
Rent Stabilized
|
|
1
|
.61
|
.41
|
|
2
|
.27
|
.30
|
|
3
|
.07
|
.14
|
|
4
|
.04
|
.11
|
|
5
|
.01
|
.09
|
|
6
|
.00
|
.01
|
a. What is the expected value of the number of persons living in each type of unit?
b. What is the variance of the number of persons living in each typed of unit?
c. Make some comparisons between the number of persons living in rent controlled units and the number of person living in rent stabilize units.