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What is the best distribution that would fit the total number of easy jobs arriving per...

What is the best distribution that would fit the total number of easy jobs arriving per day given the following:

- There are two types of jobs: hard and easy

- easy jobs do not have a constant rate of occurance

Explain why this distribution best fits the scenario.

Math   Statistics-And-Probability   
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Answer #1

We have given total number of easy jobs arriving per day.and there are two types of jobs : hard and easy.

  1. i.e. there is two outcomes of jobs hard or easy jobs
  2. we can estimate p as number of easy jobs per total number of jobs.

x: total number of easy jobs per day

n: total number of jobs per day

therefore p= x/n

and we are repeating the trial .Here we can fit the Binomial Distribution with parameter P and n

X--> Binomial (p, n)

REASON BEHIND TO CHOOSE BINOMIAL DISTRIBUTION :

usually the binomial experiment, which has the following properties:

  • Fixed number of n trials.
  • Each trial is an independent event.
  • Only two outcomes are possible (Success and Failure).
  • Probability of success (p) for each trial is constant.
  • A random variable X= the number of successes.
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