# Statistics Probability

Using the data set & Template below; compose an email to the head of the American Intellectual Union which discusses the following:

1. How you would use the concept of probabilities to apply to profiles for hiring more satisfied individuals? Job Satisfaction is an attitude about one's job. It may be measured globally or via facets (e.g., intrinsic / extrinsic). However, job satisfaction is a post hoc phenomenon. Using "profiles" developed via the Data Set to predict job satisfaction is not feasible. Further, the only variables you could use would be gender, age, department, position. To say, for example, that salaried females between 22-49 years of age and working in IT are more likely to be satisfied says noting about potential hires. It probably says more about the way the department is managed and the resources available to accomplish tasks. Finally, unless job satisfaction is a performance criterion, it would most likely be illegal to use this concept.

2. Other ways that probability is used in business (Feel free to use the Business Source Elite Database in the Cybrary as a resource to research how probability is used in business).

Begin your email to AIU by first providing an overview of the database, i.e., a story.

Include the following pieces of information.

Part I

a) What is the gender distribution (%females and %males)?

b) What is the "tenure with company" distribution by gender?

c) What % of the survey participants are in each department?

d) What is the mean overall satisfaction by gender?

Part II

Keeping in mind that in this email you are going to try to apply probabilities to profile hiring more satisfied individuals, discuss the following in your email.

a) If we choose a person at random from this database: - What is the probability that this person will be female?

If we choose a person at random from this database: -What is the probability that this person will be between 22 and 49 years old?

If we choose a person at random from this database: -What is the probability that their overall job satisfaction is 4.7 or lower?

b) If we choose a person at random from this database: -What is the probability that this person will be a male in the information technology department?

If we choose a person at random from this database: -What is the probability that this person will be an hourly employee whose intrinsic satisfaction is 6 or more?

c) Calculate the correlation between age and tenure with the company. Explain your results.

Part III

In your email you need to also address other ways that probability is used in business.

See attached file for full problem description with data.

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Using the data set & Template below; compose an email to the head of the American Intellectual Union which discusses the following:

1. How you would use the concept of probabilities to apply to profiles for hiring more satisfied individuals? Job Satisfaction is an attitude about one's job. It may be measured globally or via facets (e.g., intrinsic / extrinsic). However, job satisfaction is a post hoc phenomenon. Using "profiles" developed via the Data Set to predict job satisfaction is not feasible.

Further, the only variables you could use would be gender, age, department, position. To say, for example, that salaried females between 22-49 years of age and working in IT are more likely to be satisfied says noting about potential hires. It probably says more about the way the department is managed and the resources available to accomplish tasks. Finally, unless job satisfaction is a performance criterion, it would most likely be illegal to use this concept.

2. Other ways that probability is used in business (Feel free to use the Business Source Elite Database in the Cybrary as a resource to research how probability is used in business).

Begin your email to AIU by first providing an overview of the database, i.e., a story.

Include the following pieces of information.

Part I

a) What is the gender distribution (%females and %males)?

Table - 1: Gender

Frequency Percent Valid Percent Cumulative Percent

Valid Male 120 41.7 41.7 41.7

Female 168 58.3 58.3 100.0

Total 288 100.0 100.0

b) What is the "tenure with company" distribution by gender?

Table 2: Tenure * Gender Cross-tabulation

Gender Total

Male Female

Tenure Less than 2 Years Count 79 91 170

% within Tenure 46.5% 53.5% 100.0%

% within Gender 65.8% 54.2% 59.0%

% of Total 27.4% 31.6% 59.0%

2 to 5 Years Count 26 42 68

% within Tenure 38.2% 61.8% 100.0%

% within Gender 21.7% 25.0% 23.6%

% of Total 9.0% 14.6% 23.6%

More than 5 Years Count 15 35 50

% within Tenure 30.0% 70.0% 100.0%

% within Gender 12.5% 20.8% 17.4%

% of Total 5.2% 12.2% 17.4%

Total Count 120 168 288

% within Tenure 41.7% 58.3% 100.0%

% within Gender 100.0% 100.0% 100.0%

% of Total 41.7% 58.3% 100.0%

c) What % of the survey participants are in each department?

Frequency Percent Valid Percent Cumulative Percent

Valid Human Resources 11 3.8 3.8 3.8

Information Technology 100 34.7 34.7 38.5

Administration 177 61.5 61.5 100.0

Total 288 100.0 100.0

d) What is the mean overall satisfaction by gender?

Gender Mean N Std. Deviation

Male 4.431 120 1.4518

Female 4.258 168 1.2977

Total 4.330 288 1.3642

Part II

Keeping in mind that in this email you are going to try to apply probabilities to profile hiring more satisfied individuals, discuss the following in your email.

a) If we choose a person at random from this database: - What is the probability that this person will be female?

=Number of Females / Total Sample Size = 168/288 = .583

If we choose a person at random from this database: -What is the probability that this person will be ...

#### Solution Summary

This posting provides details of using the concept of probability for hiring satisfied individuals using % descriptive and correlation coefficient