Question

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 SatisfactionScore - IS SeniorExecutives (%) - IS MiddleManagers (%)
1 - 5 - 2004
2 - 9 - 10
3 - 3 - 12
4 - 42 - 46
5 - 41 - 28
(a) Develop a probability distribution for the job satisfaction score of a randomly selected senior executive. xf(x) 1 2 3 4 5
(b) Develop a probability distribution for the job satisfaction score of a randomly selected middle manager. xf(x) 1 2 3 4 5
(c) What is the probability that a randomly selected senior executive will report a job satisfaction score of 4 or 5?

Answer 1

a. Probability distribution is given below

Scores Ex, x. 1 2 3 4 5

P(X=x). 0.05 0.09 0.03 0.42 0.41

b. Scores mg, Y 1. 2. 3. 4. 5

P(Y=y). 0.04. 0.1. 0.12 0.46 .28

c. probability that a randomly selected senior executive will report a job satisfaction score of 4 or 5.

P(4 or 5) =p(x=4) +p(x=5)

= 0.42 + 0.41=0.83