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  1. AngleWyrm

    Free Range Logic

    It's also the primary definition used in the linked article on Fuzzy Logic, for selecting among inputs based on logic. You're not wrong, it's just useful for a different application.
  2. AngleWyrm

    Free Range Logic

    A Youtube series by a man who considers proper nouns very important From the linked article These look like functions that could describe and calculate probabilities, whereas the previous set of functions look more like they select between inputs based on logic. (A AND B) OR (A AND (NOT C))...
  3. AngleWyrm

    Free Range Logic

    So then I should be able to work out the value of more complicated logic gate expressions and feed it some values. Such as this one Given: Y= (A OR B) AND (A OR (NOT C)) AND (B OR (NOT C)) and the set of inputs {A=2/3, B=1/4, C=1/2} (A OR B) AND (A OR (1 - C)) AND (B OR (1 - C)) ...
  4. AngleWyrm

    Free Range Logic

    Here's the big three logic gates, that take as inputs a binary 0 or 1: But what if those inputs were free to be any value across the range 0..1? For the sake of example let's say A=2/3 and B=1/4 I can surmise that NOT(A) = 1 - 2/3 = 1/3, and also that NOT(B) = 1 - 1/4 = 3/4 But what of AND and OR?
  5. AngleWyrm

    Greetings

    Hi, here's some of the best: Pulled Pork Soft Tacos
  6. AngleWyrm

    Should I consider this variable continuous or discrete?

    One could multiply all values by ten and then have integer measurements, suggesting this is an issue related to the scale of the unit of measure. Do you foresee a need for even smaller values? Is there a point at which smaller doesn't make sense, for example exceeding the precision of measuring...
  7. AngleWyrm

    Probability of test passes

    I suspect without knowing that the percentage of pass/fail is different for different students, but the questions are generalized to a generic future student. So this seems like a measure of the test rather than the student. If we lump all test results into one set, and call them the student...
  8. AngleWyrm

    Probability of test passes

    replace the word 'student' with 'unfair coin'
  9. AngleWyrm

    Formula for working out Odds/Probability across two events combined?

    The short version is multiply the percentages together. If there's a 50% of B happening, and a 80% of A happening, then there is a 0.5 * 0.8 = 0.4 = 40% chance they both happened
  10. AngleWyrm

    Delete Excess Data and Not Lose Stat Significance?

    This seems like a desire to implement memory loss in a finitely large storage system for the sake of resource re-use. What score system can be applied to sort competitors into winners and losers for survival, when overcrowding prompts the mechanisms of starvation? Game theory models of resource...
  11. AngleWyrm

    Delete Excess Data and Not Lose Stat Significance?

    What's the difference between "multiple cycles" and "based on date?" Are they not both methods of expressing the passage of time?
  12. AngleWyrm

    Delete Excess Data and Not Lose Stat Significance?

    If you have only one input, such as the example of favorite song, then the question appears to be a decision on what proportion of the votes constitutes "enough" so that the remainder is an insignificant proportion. Sort the list by most votes, and crop the list at any desired level of...
  13. AngleWyrm

    Alice vs Bob dice competition

    Alice and Bob each roll 2d6 but Alice gets a +1 bonus to her roll: What is the probability Alice won the toss? I've created a spreadsheet where given Bob's toss I can calculate P(Alice won), P(A>B|B)
  14. AngleWyrm

    Probability

  15. AngleWyrm

    Calculating the probability of one student scoring the highest in the class on an exam.

    Here's an interesting approach that involves estimating the student's actual stats from the sample measurements
  16. AngleWyrm

    Calculating the probability of one student scoring the highest in the class on an exam.

    Standard Deviation is the average distance away from their expected exam score.
  17. AngleWyrm

    Calculating the probability of one student scoring the highest in the class on an exam.

    I did a little spreadsheet work on the dice model interpretation, didn't get to the end of it though. Somebody mentioned this might be a calculus integration problem, something like maybe having two probabilities a={mean:64, stdev:15}, b={mean:72, stdev:13} and working out the overlap from there?
  18. AngleWyrm

    Deviation with intervals

    It seems to me that you're asking about the concept of area under a distribution curve, and wish to partition that into sections of equal area.
  19. AngleWyrm

    Calculating the probability of one student scoring the highest in the class on an exam.

    Yes that was the question, I may have wandered a bit :p It looks to me like two guys throw a pair of dice, but one of them has a bonus +1, what is the probability he will come out on top?
  20. AngleWyrm

    Calculating the probability of one student scoring the highest in the class on an exam.

    Student Grade Study with additional columns, +/-1.65σ and +/-1.28σ, the 95% and 80% confidence range for each student. For a generic test, it can be said with 95% certainty these students will achieve a score in the +/-1.65 range. Or equivalently, that 95% of their scores on a test fall in this...