1) The probability distribution of the ratings established by employees on the relationship they have with their supervisors range from 1 (poor) to 5 (excellent).

Qualification of the employee's relationship with the supervisor (x)	Supervisor A f (x)	Supervisor B f (x)
1	0.07	0.14
2	0.09	0.10
3	0.03	0.12
4	0.40	0.36
5	0.41	0.28

a) What is the expected value (mean) of the values offered to the rating of supervisor A? (3 points)

b) What is the expected value (mean) of the values offered to the rating of supervisor B? (3 points)

c) Calculate the variance of the values offered to the rating of supervisor A. (3 points)

d) Calculate the standard deviation of the values offered to the rating of supervisor B? (3 points)

e) Compare the satisfaction with supervisor A with that with supervisor B. (2 points)