Probability density functions

  1. 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?

    Attached Files:

  2. jcsd
  3. stewartcs

    stewartcs 2,244
    Science Advisor

    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.

  4. I'm asking how would generate the probabilities on the Y-axis?
  5. stewartcs

    stewartcs 2,244
    Science Advisor

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

  6. 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?
  7. brewnog

    brewnog 2,775
    Science Advisor
    Gold Member

    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.
  8. Yes, that's what I thought, thanks for your help, maybe it can be moved?
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