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Probability Distributions

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Probability Density function, Probability distribution, and Probability

Could someone give me definitions with examples of each.

Please make the explanations as clear as possible.

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Solution Preview

Let's start with the last term you listed above.

Probability is a way to quantify how likely some event is going to happen. It is always expressed as a number between 0 and 1, inclusive. A probability of 0 indicates no chance of occurrence, whereas a probability of 1 indicates sure occurrence.

Probability distribution is a function that maps events to their probability of occurrence. We can consider 2 cases -- first, in the discrete case (where events are indexed by values like 1, 2, 3, ...), the probability distribution is also called the probability mass function (pmf), and takes the form P(X = k) = p, where p is the probability of X = k. On the other hand, we have the ...

Solution Summary

Solution includes detailed descriptions of each, as well as how to use probability density functions and probability distributions.

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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.

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