MichaelSchaeffler: /* Binomialverteilung */

2007-10-02T15:02:24Z

Binomialverteilung

← Nächstältere Version		Version vom 2. Oktober 2007, 17:02 Uhr
Zeile 4:		Zeile 4:
	== Binomialverteilung ==		== Binomialverteilung ==
	> B:= proc (n, p, k)		> B:= proc (n, p, k)

	> binomial(n,k) * p^k * (1-p)^(n-k):		> binomial(n,k) * p^k * (1-p)^(n-k):

	> end;		> end;
	>
	>		>
	B := proc (n, p, k) binomial(n,k)p^k(1-p)^(n-k) end proc		B := proc (n, p, k) binomial(n,k)p^k(1-p)^(n-k) end proc

	> n:= 10:		> n:= 10:
	> p:= 0.4:
	>		> p:= 0.4:

	> seq ([k,B (n, p, k)], k = 0..n);		> seq ([k,B (n, p, k)], k = 0..n);

	[0, .60466176e-2], [1, .403107840e-1], [2, .1209323520], [3, .2149908480], [4, .2508226560], [5, .2006581248], [6, .1114767360], [7, .424673280e-1], [8, .106168320e-1], [9, .15728640e-2], [10, .1048576e-3]		[0, .60466176e-2], [1, .403107840e-1], [2, .1209323520], [3, .2149908480], [4, .2508226560], [5, .2006581248], [6, .1114767360], [7, .424673280e-1], [8, .106168320e-1], [9, .15728640e-2], [10, .1048576e-3]
	~~> 11!;~~
	>
	~~39916800~~
	>

MichaelSchaeffler am 2. Oktober 2007 um 15:01 Uhr

2007-10-02T15:01:24Z

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== Binomialkoeffizient ==
> binomial(n,k);

== Binomialverteilung ==
> B:= proc (n, p, k)
> binomial(n,k) * p^k * (1-p)^(n-k):
> end;
>
>
B := proc (n, p, k) binomial(n,k)*p^k*(1-p)^(n-k) end proc
> n:= 10:
> p:= 0.4:
>
> seq ([k,B (n, p, k)], k = 0..n);
[0, .60466176e-2], [1, .403107840e-1], [2, .1209323520], [3, .2149908480], [4, .2508226560], [5, .2006581248], [6, .1114767360], [7, .424673280e-1], [8, .106168320e-1], [9, .15728640e-2], [10, .1048576e-3]
> 11!;
>
39916800
>

Binomial - Versionsgeschichte

MichaelSchaeffler: /* Binomialverteilung */

MichaelSchaeffler am 2. Oktober 2007 um 15:01 Uhr