Random^Random (Posted on 2014-10-29)

	Submitted by Jer
Rating: 5.0000 (2 votes)
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In general the probability of the first digit being below Z is the integral from 0 to 1 of the function Z/10^(1/X)dX which in closed form is Z/10-ln(Z/10)*Ei(Z/10) Where Ei is the exponential integral function. The approximate distribution: p(Z=0)=.025429 p(Z=1)=.037574 p(Z=2)=.047483 p(Z=3)=.057748 p(Z=4)=.069300 p(Z=5)=.083129 p(Z=6)=.100802 p(Z=7)=.125497 p(Z=8)=.165948 p(Z=9)=.287099

	Subject	Author	Date
	Analytic Solution -- Spolier	John Snyder	2015-02-21 09:45:25
	re: table of numeric integration	Charlie	2014-10-30 08:47:54
	re(2): table of numeric integration	Charlie	2014-10-30 08:34:08
	re(2): table of numeric integration	Steve Herman	2014-10-30 08:25:13
	re: table of numeric integration	Ady TZIDON	2014-10-29 23:13:53
	table of numeric integration	Charlie	2014-10-29 15:41:37
	re: towards an analytic solution - numeric integration	Charlie	2014-10-29 15:32:44
	towards an analytic solution	Charlie	2014-10-29 14:35:18
	numerical simulation	Charlie	2014-10-29 13:54:25