Question

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.

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.