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 A239384 Decimal expansion of the probability of a normal-error variable exceeding the mean by more than three standard deviations. 7
 1, 3, 4, 9, 8, 9, 8, 0, 3, 1, 6, 3, 0, 0, 9, 4, 5, 2, 6, 6, 5, 1, 8, 1, 4, 7, 6, 7, 5, 9, 4, 9, 7, 7, 3, 7, 7, 8, 2, 9, 3, 6, 8, 1, 5, 8, 3, 8, 0, 6, 4, 9, 3, 6, 4, 2, 2, 1, 9, 8, 5, 3, 5, 5, 8, 0, 5, 7, 2, 0 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET -2,2 COMMENTS The probability P{(x-m)/s > 3} for a normally distributed random variable x with mean m and standard deviation s. In experimental sciences (hypothesis testing), a measured excursion exceeding background "noise" by more than three standard deviations is considered fairly significant, unless it is an isolated case among hundreds of measurements. LINKS Stanislav Sykora, Table of n, a(n) for n = -2..1998 Wikipedia, Normal distribution FORMULA P{(x-m)/s > 3} = P{(x-m)/s < -3} = 0.5*erfc(3/sqrt(2)), with erfc(x) being the complementary error function. EXAMPLE 0.0013498980316300945266518147675949773778293681583806493642... PROG (PARI) n=3; a=0.5*erfc(n/sqrt(2))  \\ Use sufficient realprecision CROSSREFS Cf. P{(x-m)/s>n}: A239382 (n=1), A239383 (n=2), A239385 (n=4), A239386 (n=5), A239387 (n=6). Sequence in context: A285265 A178590 A022463 * A242219 A106833 A217578 Adjacent sequences:  A239381 A239382 A239383 * A239385 A239386 A239387 KEYWORD nonn,cons AUTHOR Stanislav Sykora, Mar 18 2014 STATUS approved

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Last modified October 18 02:23 EDT 2019. Contains 328135 sequences. (Running on oeis4.)