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?

Question

Shaniya Adams

Mathematics

12 May, 12:53

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?

+5

Answers (1)

Know the Answer?

Oswaldo · 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