How do you calculate the probability of a value being part of an array of values when the array is not a standard distribution? In this case we have what we think is a “special” number in terms of its ability to come up with special results in a long series of calculations. In order to test it, we put in random numbers (50 of) to see what success they had, and then we put in the “special” number to see how it compares. The random number results are skewed, so using SD Z-Score probabilities could be challenged. We have 15 sets of results. Here’s one, ordered:-
0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 10, 10, 10
The special number gave 12. What’s the probability?
(2 of the 3 "10"s are where the random number generator hit the "special" number, and a simple multiple of it, and the 3rd is where the random number hit another known candidate. For the sake of honesty we've left them in)
0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 10, 10, 10
The special number gave 12. What’s the probability?
(2 of the 3 "10"s are where the random number generator hit the "special" number, and a simple multiple of it, and the 3rd is where the random number hit another known candidate. For the sake of honesty we've left them in)