Move the sliders for n and m to watch how the distribution changes. (If they get much bigger than 30, the program gets confused and doesn't graph correctly; it can only draw a graph with finite precision.)
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If you have any questions or comments, leave them at the reddit post for this.
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Expression 8: StartFraction, "x" Superscript, "n" , Baseline left parenthesis, 1 minus "x" , right parenthesis Superscript, "m" , Baseline Over Start sum from "i" equals 0 to "m" , end sum, StartNestedFraction, nCr left parenthesis, "m" , "i" , right parenthesis left parenthesis, negative 1 , right parenthesis Superscript, "i" , Baseline NestedOver "n" plus "i" plus 1 , EndNestedFraction , EndFractionxn1−xmm∑i=0nCrm,i−1in+i+1