This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A239382 Decimal expansion of the probability of a normal-error variable exceeding the mean by more than one standard deviation. 7
 1, 5, 8, 6, 5, 5, 2, 5, 3, 9, 3, 1, 4, 5, 7, 0, 5, 1, 4, 1, 4, 7, 6, 7, 4, 5, 4, 3, 6, 7, 9, 6, 2, 0, 7, 7, 5, 2, 2, 0, 8, 7, 0, 3, 3, 2, 7, 3, 3, 9, 5, 6, 0, 9, 0, 1, 2, 6, 0, 5, 5, 4, 9, 7, 5, 7, 0 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The probability P{(x-m)/s > 1} 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 just one standard deviation is not significant, unless corroborated by strong additional indications. LINKS Stanislav Sykora, Table of n, a(n) for n = 0..2000 Wikipedia, Normal distribution FORMULA P{(x-m)/s > 1} = P{(x-m)/s < -1} = 0.5*erfc(1/sqrt(2)) = erfc(sqrt(2)/2)/2, with erfc(x) being the complementary error function. EXAMPLE 0.15865525393145705141476745436796207752208703327339560901260... PROG (PARI) n=1; a=0.5*erfc(n/sqrt(2))  \\ Use sufficient realprecision CROSSREFS Cf. P{(x-m)/s>n}: A239383 (n=2), A239384 (n=3), A239385 (n=4), A239386 (n=5), A239387 (n=6). Sequence in context: A136258 A102519 A199265 * A085117 A301862 A245944 Adjacent sequences:  A239379 A239380 A239381 * A239383 A239384 A239385 KEYWORD nonn,cons AUTHOR Stanislav Sykora, Mar 17 2014 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 20 12:41 EDT 2018. Contains 313917 sequences. (Running on oeis4.)