Manuals/calci/POISSONDISTRIBUTED - Revision history

Devika: /* Examples */

2018-12-06T20:22:45Z

Examples

Jayaram at 07:33, 13 March 2017

2017-03-13T07:33:58Z

Devika at 19:58, 15 December 2016

2016-12-15T19:58:01Z

Devika: Created page with "poisson"

2016-12-15T19:46:02Z

Created page with "poisson"

New page

poisson

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 #POISSONDISTRIBUTED(5,45) = 37 39 45 35 47
 #POISSONDISTRIBUTED(7,67.45) = 79.45 65.45 75.45 72.45 83.45 74.45 77.45
 ==See Also==

← Older revision		Revision as of 07:33, 13 March 2017
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	==References==		==References==
	[http://stattrek.com/probability-distributions/poisson.aspx Poisson Probability Distribution ]		[http://stattrek.com/probability-distributions/poisson.aspx Poisson Probability Distribution ]
		+
		+
		+
		+	*[[Z_API_Functions \| List of Main Z Functions]]
		+
		+	*[[ Z3 \| Z3 home ]]

← Older revision		Revision as of 19:58, 15 December 2016
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−	poisson	+	<div style="font-size:30px">'''POISSONDISTRIBUTED(Numbers,Lambda)'''</div><br/>
		+	*<math>Numbers</math> is the number of random numbers to display.
		+	*<math>Lamda</math> is the mean value.
		+
		+	==Description==
		+	*This function shows the random variables of Poisson distribution.
		+	*It is a discrete frequency distribution which gives the probability of a number of independent events occurring in a fixed time.
		+	*A Poisson random variable is the number of successes that result from a Poisson experiment.
		+	*The probability distribution of a Poisson random variable is called a Poisson distribution.
		+	*Suppose we conduct a Poisson experiment, in which the average number of successes within a given region is <math>\mu</math>.
		+	*Then, the Poisson probability is:
		+	<math>P(x;\mu) = \frac{(e^{-\mu}) (\mu^x)}{ x!}</math>
		+	*where x is the actual number of successes that result from the experiment, and e is approximately equal to 2.71828.
		+	*The Poisson distribution has the following properties:
		+	#The mean of the distribution is equal to <math>\mu</math> .
		+	#The variance is also equal to <math>\mu</math> .
		+	*This function will give the result as error when b<0 and a value is not an integer.
		+
		+	==Examples==
		+	#POISSONDISTRIBUTED(3,3) = 2 1 3
		+	#POISSONDISTRIBUTED(5,45) = 37 39 45 35 47
		+	#POISSONDISTRIBUTED(7,67.45) = 79.45 65.45 75.45 72.45 83.45 74.45 77.45
		+
		+	==See Also==
		+	*[[Manuals/calci/POISSON \| POISSON ]]
		+	*[[Manuals/calci/EXPONDIST \| EXPONDIST ]]
		+
		+	==References==
		+	[http://stattrek.com/probability-distributions/poisson.aspx Poisson Probability Distribution ]