# Leveraging Probability Distributions

On the attach file X school has compiled a large database of survey responses from 288 individuals which contains the following information:

(1) Gender (2) Age (3) Department (4) Position (5) Tenure

(6) Overall Job Satisfaction

(7) Intrinsic Job Satisfaction - Satisfaction with the actual performance of the job

(8) Extrinsic Job Satisfaction- Things external to the job, e.g., office location, your work colleagues, your own office (cubicle/hard walled office, etc), etc.

(Q1) I need assistant with an overview of the database from tab (SURVEY and KEY) to the X school, i.e., story.

(Q2) The information should include the four (4) pieces of information tab WORKSHEET. In addition, can you aid with part 3 on tab WORKSHEET with and explanation. I have already completed the other question in part 1,2, and 4, however, feel free to check them.

(Q3) How you would use the concept of probabilities to apply to profiles for hiring more satisfied individuals and other ways that probability is used in business.

Thanks you in advance for your help.

#### Solution Preview

1. i. What is the probability that this person will be female?

There are 168 females out of the 288 observations

Thus, the probability that this person will be female is P = 168 / 288 = 58.3%

ii. What is the probability that this person will be between 22 and 49 years old?

There are 194 aged between 22 and 49 (in age category 2) out of the 288 observations

Thus, the probability is P = 194 / 288 = 67.4%

iii. What is the probability that their overall job satisfaction is 4.7 or lower?

There are 172 people whose "overall" is 4.7 or lower out of the 288 observations

Thus, the probability is P = 172 / 288 = 59.7%

b )

i. What is the probability that this person will be a male in the information technology department?

There are 29 people whose gender =1 (male) and department = 2 (IT) out of the 288 observations

Thus, the probability is P = 29 / 288 = 10.1%

ii. What is the probability that this person will be an hourly employee whose intrinsic ...

#### Solution Summary

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