Normal distribution or Uniform distribution

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Homework Help Overview

The discussion revolves around comparing two types of job processing times: one following a normal distribution with a mean of 4.5 minutes and a standard deviation of 1.5 minutes, and the other following a uniform distribution between 1 and 3 minutes. Participants are exploring how to determine which job requires less processing time.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are questioning how to compare processing times from different statistical distributions. There is a focus on defining what "smaller processing time" means in this context, whether it refers to expected values or probabilities of one being less than the other.

Discussion Status

The discussion is ongoing, with participants seeking clarity on the comparison between the two distributions. Some guidance has been offered regarding the interpretation of "smaller" in relation to the distributions, but no consensus has been reached on the approach to take.

Contextual Notes

Participants are working within the constraints of a simulation tool (Simio) and are required to establish job priorities based on processing times. There is an emphasis on the randomness of processing times from both distributions.

Amol Musale
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Hello,
I have two jobs,Normal distribution with mean of 4.5 minutes and standard deviation of 1.5 minutes for type 1 and uniformly distributed between 1 and 3 minutes for type 2
 
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which job will requires less processing time??
 
Amol Musale said:
which job will requires less processing time??

Show us your work; those are PF rules!
 
I am working on simio and i have to decide job priority according to their processing time. smaller the processing time, higher the priority. I don't know how to compare between normal and uniform distribution.
 
Amol Musale said:
I am working on simio and i have to decide job priority according to their processing time. smaller the processing time, higher the priority. I don't know how to compare between normal and uniform distribution.

First of all: the question "... has smaller processing time..." is meaningless; both processing times are random, so sometimes the uniform will be less than the normal, while other times it will be the opposite. You need to decide what "smaller" means; is it smaller in expectation or do you look at quantities like ##P(A < B)##, or what? YOU decide!
 

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