Difference between revisions of "Documentation/How Tos/Calc: POISSON function"
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− | __NOTOC__ | + | {{DISPLAYTITLE:POISSON function}} |
+ | {{Documentation/CalcFunc StatisticalTOC | ||
+ | |ShowPrevNext=block | ||
+ | |PrevPage=Documentation/How_Tos/Calc:_PHI_function | ||
+ | |NextPage=Documentation/How_Tos/Calc:_PROB_function | ||
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== POISSON == | == POISSON == | ||
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=== Syntax: === | === Syntax: === | ||
<tt>'''POISSON(x; λ; mode)'''</tt> | <tt>'''POISSON(x; λ; mode)'''</tt> | ||
− | : The Poisson distribution is a discrete probability distribution giving the probability that | + | : The Poisson distribution is a discrete probability distribution giving the probability that <tt>'''x'''</tt> events occur in a certain time, where events occur independently, and where on average <tt>'''λ'''</tt> events are expected. <tt>'''x'''</tt> should be >=0 and <tt>'''λ'''</tt> should be >0. <tt>'''x'''</tt> should be integer. |
: If mode is <tt>'''0'''</tt>, <tt>'''POISSON'''</tt> calculates the probability density function of the Poisson distribution: | : If mode is <tt>'''0'''</tt>, <tt>'''POISSON'''</tt> calculates the probability density function of the Poisson distribution: | ||
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=== Example: === | === Example: === | ||
<tt>'''POISSON(8; 9; 0)'''</tt> | <tt>'''POISSON(8; 9; 0)'''</tt> | ||
− | : returns approximately 0.1317, the | + | : returns approximately 0.1317, the probability that exactly 8 events occur in a time period where you expect 9 events. |
<tt>'''POISSON(8; 9; 1)'''</tt> | <tt>'''POISSON(8; 9; 1)'''</tt> | ||
− | : returns approximately 0.4556, the | + | : returns approximately 0.4556, the probability that up to and including 8 events occur in a time period where you expect 9 events. |
− | + | {{SeeAlso|EN| | |
− | [[Documentation/How_Tos/Calc: Statistical functions| | + | * [[Documentation/How_Tos/Calc: Statistical functions|Statistical functions]] |
+ | |||
+ | * [[Documentation/How_Tos/Calc: Functions listed alphabetically|Functions listed alphabetically]] | ||
+ | * [[Documentation/How_Tos/Calc: Functions listed by category|Functions listed by category]]}} | ||
+ | [[Category: Documentation/Reference/Calc/Statistical functions]] |