How Do You Calculate Probability Distributions for Measured Fibre Angles?

AI Thread Summary
To calculate probability distributions for measured fibre angles, one should categorize each fibre by its orientation and count how many fibres fall into each category. The probability for each orientation is then determined by dividing the count of fibres in that category by the total number of fibres. The discussion indicates that the data follows a Gaussian Distribution, with specific probabilities assigned to certain angles. There is a suggestion that the original question might be more appropriate for a homework help section. The conversation concludes with a confirmation of the calculation method for generating the probabilities.
jamie516
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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?
 

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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?
 

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