The probability distribution of the ratings established by the employees on the relationship they have with their supervisors ranges from 1 (poor) to 5 (excellent). Qualification of employee’s relationship with supervisor (x) Supervisor A f (x) Supervisor B f (x) 1 0.05 0.04 2 0.09 0.10 3 0.03 0.12 4 0.42 0.46 5 0.41 0.28 a) What is the expected value (mean) of the securities offered to the rating of supervisor A? b) What is the expected value (mean) of the securities offered to supervisor B's rating? c) Calculate the variance of the values offered to the rating of supervisor A. d) Calculate the standard deviation of the values offered to the rating of supervisor B. e) Compare their satisfaction with supervisor A with that of supervisor B.
The probability distribution of the ratings established by the employees on the relationship they have with their supervisors
|
Qualification of employee’s relationship with supervisor (x) |
Supervisor A f (x) |
Supervisor B f (x) |
|
1 |
0.05 |
0.04 |
|
2 |
0.09 |
0.10 |
|
3 |
0.03 |
0.12 |
|
4 |
0.42 |
0.46 |
|
5 |
0.41 |
0.28 |
a) What is the
b) What is the expected value (mean) of the securities offered to supervisor B's rating?
c) Calculate the variance of the values offered to the rating of supervisor A.
d) Calculate the standard deviation of the values offered to the rating of supervisor B.
e) Compare their satisfaction with supervisor A with that of supervisor B.
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