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 (very dissatisfied) to a high of (very satisfied). Round your answers to two decimal places.Job SatisfactionScoreIS SeniorExecutives (%)IS MiddleManagers (%)a. Develop a probability distribution for the job satisfaction score of a senior executive..05.09.03.42.41b. Develop a probability distribution for the job satisfaction score of a middle manager..04.1.12.46.28c. What is the probability a middle manager will report a job satisfaction score of or

Question

23-06-2020
Mathematics

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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 (very dissatisfied) to a high of (very satisfied). Round your answers to two decimal places.Job SatisfactionScoreIS SeniorExecutives (%)IS MiddleManagers (%)a. Develop a probability distribution for the job satisfaction score of a senior executive..05.09.03.42.41b. Develop a probability distribution for the job satisfaction score of a middle manager..04.1.12.46.28c. What is the probability a middle manager will report a job satisfaction score of or

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Newton9022 Newton9022 · Answer 1 · 2020-06-27T04:32:42+02:00

Corrected Question

a. Develop a probability distribution for the job satisfaction score of a senior executive.

b. Develop a probability distribution for the job satisfaction score of a middle manager.

c. What is the probability a senior executive will report a job satisfaction score of 4 or 5?

d. What is the probability a middle manager is very satisfied?

Answer:

(c)0.83

(d)0.28

Step-by-step explanation:

The percent frequency distributions of job satisfaction scores os give below:

[tex]\left|\begin{array}{c|c|c}$Job Satisfaction Score&$IS Senior Executives(\%)&$IS Middle Managers(\%)\\1&5&4\\2&9&10\\3&3&12\\4&42&46\\5&41&28\end{array}\right|[/tex]

(a)Probability distribution for the job satisfaction score of a senior executive.

[tex]\left|\begin{array}{c|c}$Job Satisfaction Score&$Relative Frequency (f_1(x))\\------&------\\1&0.05\\2&0.09\\3&0.03\\4&0.42\\5&0.41\end{array}\right|[/tex]

(b)Probability distribution for the job satisfaction score of a middle manager.

[tex]\left|\begin{array}{c|c}$Job Satisfaction Score&$Relative Frequency (f_2(x))\\1&0.04\\2&0.10\\3&0.12\\4&0.46\\5&0.28\end{array}\right|[/tex]

(c)Probability a senior executive will report a job satisfaction score of 4 or 5

P(a senior executive will report a job satisfaction score of 4 or 5)

[tex]=f_1(4)+f_1(5)\\=0.42+0.41\\=0.83[/tex]

(d)Probability a middle manager is very satisfied

The probability a middle manager is very satisfied

[tex]=f_2(5)\\=0.28[/tex]