How Do You Calculate Probability Distributions for Measured Fibre Angles?

Click For Summary

Discussion Overview

The discussion revolves around calculating probability distributions for measured fibre angles in a carbon fibre spray-up process. Participants explore how to derive the probabilities represented on the Y-axis of a provided graph, focusing on the methodology behind generating these distributions.

Discussion Character

  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant inquires about the method for calculating the probabilities on the Y-axis of a probability distribution graph for fibre angles.
  • Another participant suggests that the data appears to follow a Gaussian Distribution and interprets a specific probability related to fibre orientation.
  • A participant seeks clarification on how the probabilities were initially obtained, proposing that it might involve counting fibres within certain angle ranges and dividing by the total number of fibres.
  • Another participant confirms that the probabilities are generated by categorizing fibres by orientation and expressing the counts as proportions of the total.
  • There is a suggestion that the discussion may be more appropriate for the homework help section.

Areas of Agreement / Disagreement

Participants generally agree on the method of calculating probabilities by categorizing fibres and counting them, but there is some uncertainty regarding the initial interpretation of the graph and whether the discussion fits the homework category.

Contextual Notes

Some participants express confusion about the initial data interpretation and the specific steps taken to derive the probabilities, indicating potential missing assumptions or clarity in the methodology.

jamie516
Messages
17
Reaction score
0
This could go in the homework section I suppose, but I couldn't follow the guidelines, so I'll try asking it here.

The attached image is a probability distribution for measured fibre angles from a spray up carbon fibre process. This is in a report that I need to explain. To get the probability distributions on the Y axis, would one just add up all the fibres, and divide that total by the number between a given orientation?
 

Attachments

  • probability distribuitions.jpg
    probability distribuitions.jpg
    32 KB · Views: 436
Engineering news on Phys.org
jamie516 said:
This could go in the homework section I suppose, but I couldn't follow the guidelines, so I'll try asking it here.

The attached image is a probability distribution for measured fibre angles from a spray up carbon fibre process. This is in a report that I need to explain. To get the probability distributions on the Y axis, would one just add up all the fibres, and divide that total by the number between a given orientation?

I'm not sure what you are asking. The data appears to follow a Gaussian Distribution (i.e. Normal Distribution). The way to interpret the graph is like this: For the 6k 115mm fibers, there is a 0.29 probability that the in-plane fiber orientation is approximately 0.0 radians.

CS
 
I'm asking how would generate the probabilities on the Y-axis?
 
jamie516 said:
I'm asking how would generate the probabilities on the Y-axis?

Your graph shows the y-axis as "probability" already. So there's nothing to generate.

CS
 
I know it does, what I'm asking is how was it obtained in the first place? Would you just add up the number of fibres between a certain angle and then divide by the total number of fibres? And that gives probability?
 
It's generated by looking at all the fibres, putting each one into a category (of orientation), and counting up how many fibres are in each category; then expressing that number as a proportion of the total number of fibres.

This should have been posted in homework help.
 
Yes, that's what I thought, thanks for your help, maybe it can be moved?
 

Similar threads

Undergrad What Does The Probability Density Function Tell You?
  • · Replies 8 ·
Replies
8
Views
3K
'Residence' time distribution function for a Pulse input
  • · Replies 14 ·
Replies
14
Views
5K
Undergrad Measurement Error Analysis in Gaussian distribution
  • · Replies 2 ·
Replies
2
Views
2K
Graduate On the width of the kinetic energy distribution of a gas
  • · Replies 10 ·
Replies
10
Views
2K
Probability density and rifle shooting
  • · Replies 30 ·
2
Replies
30
Views
4K
How Do Spin Measurements Influence Particle States in Quantum Mechanics?
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Boltzmann distribution and the number of molecules with a certain velocity
  • · Replies 10 ·
Replies
10
Views
3K
Undergrad Hidden phase in polarization tests of Bell's inequality?
  • · Replies 49 ·
2
Replies
49
Views
6K
Graduate Calculate the distribution of energies from momenta
  • · Replies 17 ·
Replies
17
Views
2K
Graduate How Do You Find the Density Function of a Sum of Exponential Random Variables?
  • · Replies 4 ·
Replies
4
Views
4K