Manuals/calci/BINOMIALDISTRIBUTED - Revision history

Devika at 22:59, 5 December 2018

2018-12-05T22:59:19Z

2018-06-12T22:39:58Z

2018-03-01T20:15:26Z

Examples

2017-03-13T07:25:14Z

2016-12-13T19:59:15Z

Description

2016-12-13T19:43:16Z

Description

2016-12-13T19:41:53Z

2016-12-13T19:37:40Z

Created page with "==Binomial"

New page

==Binomial

← Older revision		Revision as of 22:59, 5 December 2018
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	# BINOMIALDISTRIBUTED(5,0.3,76) = 23 29 20 19 23		# BINOMIALDISTRIBUTED(5,0.3,76) = 23 29 20 19 23

		+	==Related Videos==
		+
		+	{{#ev:youtube\|v=WWv0RUxDfbs\|280\|center\|Binomial Distribution}}

	==See Also==		==See Also==

@@ Line 1: / Line 1: @@
-<div style="font-size:30px">'''BINOMIALDISTRIBUTED (Numbers,Probability)'''</div><br/>
+<div style="font-size:30px">'''BINOMIALDISTRIBUTED (Numbers,Probability,Trials)'''</div><br/>
 *<math>Numbers</math> is the number of variables.
 *<math>Probability</math> is the value from 0 to 1.
 ==Description==
 *This function gives the value of the Binomial distribution.
-*In <math>BINOMIALDISTRIBUTED (Numbers,Probability)</math>, <math>Numbers</math> is the number of the variables and <math>Probability</math> is the probability value which varies from 0 to 1.
+*In <math>BINOMIALDISTRIBUTED (Numbers,Probability,Trials)</math>, <math>Numbers</math> is the number of the variables and <math>Probability</math> is the probability value which varies from 0 to 1.<math> Trial </math> is any positive real number.
 *This gives  the discrete probability distribution.
 *The probability of getting exactly  k  successes in  n  trials is given by the Probability Mass Function:
@@ Line 13: / Line 14: @@
 ==Examples==
-#BINOMIALDISTRIBUTED(10,0.4) = 36 42 45	41 41 38 37 36 32 41
+# BINOMIALDISTRIBUTED(10,0.4) = 36 42 45 41 41 38 37 36 32 41
 ==See Also==

@@ Line 13: / Line 13: @@
 ==Examples==
-#BINOMIALDISTRIBUTED(10,0.4) = 0 0 0 0 0 0 0 0
+#BINOMIALDISTRIBUTED(10,0.4) = 36 42 45	41 41 38 37 36 32 41
 ==See Also==

← Older revision		Revision as of 07:25, 13 March 2017
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	==References==		==References==
	[http://en.wikipedia.org/wiki/Binomial_distribution Binomial Distribution]		[http://en.wikipedia.org/wiki/Binomial_distribution Binomial Distribution]
		+
		+
		+
		+	*[[Z_API_Functions \| List of Main Z Functions]]
		+
		+	*[[ Z3 \| Z3 home ]]

← Older revision		Revision as of 19:59, 13 December 2016
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	<math> b(k;n,p)=Pr(X = k) = \binom{n}{k}p^{k}(1-p)^{n-k}</math> for k=0,1,2,3...n where <math>\binom{n}{k}</math> is the COMBIN(n,k) i.e.<math> \binom{n}{k} = \frac{n!}{k!(n-k)}!</math>		<math> b(k;n,p)=Pr(X = k) = \binom{n}{k}p^{k}(1-p)^{n-k}</math> for k=0,1,2,3...n where <math>\binom{n}{k}</math> is the COMBIN(n,k) i.e.<math> \binom{n}{k} = \frac{n!}{k!(n-k)}!</math>

−	*The Cumulative Binomial Distribution is:<math>B(x;n,p) = Pr(X \le x) =\sum_{i=0}^x \binom{n}{i}p^{i}(1-p)^{(n-i)}</math>	+	*The Cumulative Binomial Distribution is:<math>B(x;n,p) = Pr(X \le x) =\sum_{i=0}^x \binom{n}{i}p^{i}(1-p)^{(n-i)}</math>.
		+
		+	==Examples==
		+	#BINOMIALDISTRIBUTED(10,0.4) = 0 0 0 0 0 0 0 0
		+
		+	==See Also==
		+
		+	*[[Manuals/calci/BINOMDIST \| BINOMDIST]]
		+	*[[Manuals/calci/COMBIN \| COMBIN]]
		+	*[[Manuals/calci/FACT \| FACT]]
		+
		+	==References==
		+	[http://en.wikipedia.org/wiki/Binomial_distribution Binomial Distribution]

← Older revision		Revision as of 19:43, 13 December 2016
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	*This gives the discrete probability distribution.		*This gives the discrete probability distribution.
	*The probability of getting exactly k successes in n trials is given by the Probability Mass Function:		*The probability of getting exactly k successes in n trials is given by the Probability Mass Function:
		+	<math> b(k;n,p)=Pr(X = k) = \binom{n}{k}p^{k}(1-p)^{n-k}</math> for k=0,1,2,3...n where <math>\binom{n}{k}</math> is the COMBIN(n,k) i.e.<math> \binom{n}{k} = \frac{n!}{k!(n-k)}!</math>
		+
		+	*The Cumulative Binomial Distribution is:<math>B(x;n,p) = Pr(X \le x) =\sum_{i=0}^x \binom{n}{i}p^{i}(1-p)^{(n-i)}</math>

← Older revision		Revision as of 19:41, 13 December 2016
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−	==Binomial	+	<div style="font-size:30px">'''BINOMIALDISTRIBUTED (Numbers,Probability)'''</div><br/>
		+	*<math>Numbers</math> is the number of variables.
		+	*<math>Probability</math> is the value from 0 to 1.
		+
		+	==Description==
		+	*This function gives the value of the Binomial distribution.
		+	*In <math>BINOMIALDISTRIBUTED (Numbers,Probability)</math>, <math>Numbers</math> is the number of the variables and <math>Probability</math> is the probability value which varies from 0 to 1.
		+	*This gives the discrete probability distribution.
		+	*The probability of getting exactly k successes in n trials is given by the Probability Mass Function: