Difference between revisions of "Documentation/How Tos/Calc: B function"

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__NOTOC__
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{{Documentation/MasterTOC
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|bookid=1234'''
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|booktitle=<div style="padding: 8px; font-size: 140%; font-weight: bold; background-color: #9BC0F5;">CALC FUNCTIONS</div>
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|ShowParttitle=block|parttitle=[[Documentation/How_Tos/Calc:_Statistical_functions|<div style="font-size: 140%;">Statistical Functions]]
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|ShowNextPage=block|NextPage=Documentation/How_Tos/Calc:_BETADIST_function
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|ShowPrevPage=block|PrevPage=Documentation/How_Tos/Calc:_VARPA_function
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|ShowPrevPart=block|PrevPart=Documentation/How_Tos/Calc:_Spreadsheet_functions
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|ShowNextPart=block|NextPart=Documentation/How_Tos/Calc:_Text_functions
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|toccontent= <div style="padding: 4px; font-size: 130%; font-weight: hidden; background-color:#DCE9FC;">FUNCTIONS</div>
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Measures of Central Tendency</div>
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* [[Documentation/How_Tos/Calc:_AVEDEV_function|<div style="font-size: 120%;">Avedev]]
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* [[Documentation/How_Tos/Calc:_AVERAGE_function|<div style="font-size: 120%;">Average]]
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* [[Documentation/How_Tos/Calc:_AVERAGEA_function|<div style="font-size: 120%;">Averagea]]
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* [[Documentation/How_Tos/Calc:_COUNT_function|<div style="font-size: 120%;">Count]]
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* [[Documentation/How_Tos/Calc:_COUNTA_function|<div style="font-size: 120%;">Counta]]
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* [[Documentation/How_Tos/Calc:_GEOMEAN_function|<div style="font-size: 120%;">Geomean]]
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* [[Documentation/How_Tos/Calc:_HARMEAN_function|<div style="font-size: 120%;">Hearmean]]
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* [[Documentation/How_Tos/Calc:_MEDIAN_function|<div style="font-size: 120%;">Median]]
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* [[Documentation/How_Tos/Calc:_MODE_function|<div style="font-size: 120%;">Mode]]
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* [[Documentation/How_Tos/Calc:_TRIMMEAN_function|<div style="font-size: 120%;">Trimmean]]
 +
 
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Measures of dispersion / spread</div>
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* [[Documentation/How_Tos/Calc:_DEVSQ_function|<div style="font-size: 120%;">Devsq]]
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* [[Documentation/How_Tos/Calc:_KURT_function|<div style="font-size: 120%;">Kurt]]
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* [[Documentation/How_Tos/Calc:_SKEW_function|<div style="font-size: 120%;">Skew]]
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* [[Documentation/How_Tos/Calc:_STDEV_function|<div style="font-size: 120%;">Stdev]]
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* [[Documentation/How_Tos/Calc:_STDEVA_function|<div style="font-size: 120%;">Stedeva]]
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* [[Documentation/How_Tos/Calc:_STDEVP_function|<div style="font-size: 120%;">Stdevp]]
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* [[Documentation/How_Tos/Calc:_STDEVPA_function|<div style="font-size: 120%;">Stdevpa]]
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* [[Documentation/How_Tos/Calc:_VAR_function|<div style="font-size: 120%;">Var]]
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* [[Documentation/How_Tos/Calc:_VARA_function|<div style="font-size: 120%;">Vara]]
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* [[Documentation/How_Tos/Calc:_VARP_function|<div style="font-size: 120%;">Varp]]
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* [[Documentation/How_Tos/Calc:_VARPA_function|<div style="font-size: 120%;">Varpa]]
 +
 
 +
<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Probability and statistics</div>
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* [[Documentation/How_Tos/Calc:_B_function|<div style="font-size: 120%; border-style: double; border-color:#778899;">B]]
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* [[Documentation/How_Tos/Calc:_BETADIST_function|<div style="font-size: 120%;">Betadist]]
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* [[Documentation/How_Tos/Calc:_BETAINV_function|<div style="font-size: 120%;">Betainv]]
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* [[Documentation/How_Tos/Calc:_BINOMDIST_function|<div style="font-size: 120%;">Binomdist]]
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* [[Documentation/How_Tos/Calc:_CHIDIST_function|<div style="font-size: 120%;">Chidist]]
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* [[Documentation/How_Tos/Calc:_CHIINV_function|<div style="font-size: 120%;">Chinv]]
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* [[Documentation/How_Tos/Calc:_CHISQINV_function|<div style="font-size: 120%;">Chisqinv]]
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* [[Documentation/How_Tos/Calc:_CHITEST_function|<div style="font-size: 120%;">Chitest]]
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* [[Documentation/How_Tos/Calc:_CONFIDENCE_function|<div style="font-size: 120%;">Confidence]]
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* [[Documentation/How_Tos/Calc:_CRITBINOM_function|<div style="font-size: 120%;">Critbinom]]
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* [[Documentation/How_Tos/Calc:_EXPONDIST_function|<div style="font-size: 120%;">Expondist]]
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* [[Documentation/How_Tos/Calc:_FINV_function|<div style="font-size: 120%;">Finv]]
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* [[Documentation/How_Tos/Calc:_FISHER_function|<div style="font-size: 120%;">Fisher]]
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* [[Documentation/How_Tos/Calc:_FISHERINV_function|<div style="font-size: 120%;">Fisherinv]]
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* [[Documentation/How_Tos/Calc:_FDIST_function|<div style="font-size: 120%;">Fdist]]
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* [[Documentation/How_Tos/Calc:_FTEST_function|<div style="font-size: 120%;">Ftest]]
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* [[Documentation/How_Tos/Calc:_GAMMA_function|<div style="font-size: 120%;">Gamma]]
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* [[Documentation/How_Tos/Calc:_GAMMAINV_function|<div style="font-size: 120%;">Gammainv]]
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* [[Documentation/How_Tos/Calc:_GAMMALN_function|<div style="font-size: 120%;">Gammaln]]
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* [[Documentation/How_Tos/Calc:_GAMMADIST_function|<div style="font-size: 120%;">Gammadist]]
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* [[Documentation/How_Tos/Calc:_GAUSS_function|<div style="font-size: 120%;">Gauss]]
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* [[Documentation/How_Tos/Calc:_HYPGEOMDIST_function|<div style="font-size: 120%;">Hypgeomdist]]
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* [[Documentation/How_Tos/Calc:_LOGINV_function|<div style="font-size: 120%;">Loginv]]
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* [[Documentation/How_Tos/Calc:_LOGNORMDIST_function|<div style="font-size: 120%;">Lognormdist]]
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* [[Documentation/How_Tos/Calc:_NEGBINOMDIST_function|<div style="font-size: 120%;">Negbinomdist]]
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* [[Documentation/How_Tos/Calc:_NORMINV_function|<div style="font-size: 120%;">Norminv]]
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* [[Documentation/How_Tos/Calc:_NORMDIST_function|<div style="font-size: 120%;">Normdist]]
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* [[Documentation/How_Tos/Calc:_NORMSINV_function|<div style="font-size: 120%;">Normsinv]]
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* [[Documentation/How_Tos/Calc:_NORMSDIST_function|<div style="font-size: 120%;">Normsdist]]
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* [[Documentation/How_Tos/Calc:_PERMUT_function|<div style="font-size: 120%;">Permut]]
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* [[Documentation/How_Tos/Calc:_PERMUTATIONA_function|<div style="font-size: 120%;">Permutationa]]
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* [[Documentation/How_Tos/Calc:_PHI_function|<div style="font-size: 120%;">Phi]]
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* [[Documentation/How_Tos/Calc:_POISSON_function|<div style="font-size: 120%;">Poisson]]
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* [[Documentation/How_Tos/Calc:_PROB_function|<div style="font-size: 120%;">Prob]]
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* [[Documentation/How_Tos/Calc:_STANDARDIZE_function|<div style="font-size: 120%;">Standardize]]
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* [[Documentation/How_Tos/Calc:_TDIST_function|<div style="font-size: 120%;">Tdist]]
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* [[Documentation/How_Tos/Calc:_TINV_function|<div style="font-size: 120%;">Tinv]]
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* [[Documentation/How_Tos/Calc:_TTEST_function|<div style="font-size: 120%;">Ttest]]
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* [[Documentation/How_Tos/Calc:_WEIBULL_function|<div style="font-size: 120%;">Weibull]]
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* [[Documentation/How_Tos/Calc:_ZTEST_function|<div style="font-size: 120%;">Ztest]]
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 +
<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Correlation and line fitting</div>
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* [[Documentation/How_Tos/Calc:_CORREL_function|<div style="font-size: 120%;">Correl]]
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* [[Documentation/How_Tos/Calc:_COVAR_function|<div style="font-size: 120%;">Covar]]
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* [[Documentation/How_Tos/Calc:_FORECAST_function|<div style="font-size: 120%;">Forecast]]
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* [[Documentation/How_Tos/Calc:_INTERCEPT_function|<div style="font-size: 120%;">Intercept]]
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* [[Documentation/How_Tos/Calc:_PEARSON_function|<div style="font-size: 120%;">Pearson]]
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* [[Documentation/How_Tos/Calc:_RSQ_function|<div style="font-size: 120%;">Rsq]]
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* [[Documentation/How_Tos/Calc:_SLOPE_function|<div style="font-size: 120%;">Slope]]
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* [[Documentation/How_Tos/Calc:_STEYX_function|<div style="font-size: 120%;">Steyx]]
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<div style="font-size: 110%;">''See also (in the [[Documentation/How_Tos/Calc:_Array_functions|Array Function]] category); GROWTH, LINEST, LOGEST, TREND''</div>
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Ranking</div>
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* [[Documentation/How_Tos/Calc:_LARGE_function|<div style="font-size: 120%;">Large]]
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* [[Documentation/How_Tos/Calc:_MAX_function|<div style="font-size: 120%;">Max]]
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* [[Documentation/How_Tos/Calc:_MAXA_function|<div style="font-size: 120%;">Maxa]]
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* [[Documentation/How_Tos/Calc:_MIN_function|<div style="font-size: 120%;">Min]]
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* [[Documentation/How_Tos/Calc:_MINA_function|<div style="font-size: 120%;">Mina]]
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* [[Documentation/How_Tos/Calc:_PERCENTILE_function|<div style="font-size: 120%;">Percentile]]
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* [[Documentation/How_Tos/Calc:_PERCENTRANK_function|<div style="font-size: 120%;">Percentrank]]
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* [[Documentation/How_Tos/Calc:_QUARTILE_function|<div style="font-size: 120%;">Quartile]]
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* [[Documentation/How_Tos/Calc:_RANK_function|<div style="font-size: 120%;">Rank]]
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* [[Documentation/How_Tos/Calc:_SMALL_function|<div style="font-size: 120%;">Small]]
 +
}}__TOC__
 +
 
  
 
== B ==
 
== B ==
Returns a probability in a binomial distribution.  
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Calculates probabilities for a binomial distribution.  
  
 
=== Syntax: ===
 
=== Syntax: ===
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: With <tt>'''n'''</tt> independent trials, each with a probability <tt>'''p'''</tt> of success, <tt>'''B'''</tt> returns the probability that the number of successes will be between <tt>'''k'''</tt> and <tt>'''k2'''</tt> inclusive, or if <tt>'''k2'''</tt> is omitted the probability that the number of successes will be exactly <tt>'''k'''</tt>.
 
: With <tt>'''n'''</tt> independent trials, each with a probability <tt>'''p'''</tt> of success, <tt>'''B'''</tt> returns the probability that the number of successes will be between <tt>'''k'''</tt> and <tt>'''k2'''</tt> inclusive, or if <tt>'''k2'''</tt> is omitted the probability that the number of successes will be exactly <tt>'''k'''</tt>.
 +
 +
: The probability is calculated as:
 +
:: [[Image:Calc_b_equation.png]] (where <tt>'''k2'''</tt> = <tt>'''k'''</tt> if <tt>'''k2'''</tt> is omitted).
  
 
=== Example: ===
 
=== Example: ===
Line 13: Line 116:
 
: returns approximately 0.29 (29%), the probability that the number four will be thrown exactly twice in 10 throws of a die.
 
: returns approximately 0.29 (29%), the probability that the number four will be thrown exactly twice in 10 throws of a die.
  
=== See also: ===
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=== Issues: ===
[[Documentation/How_Tos/Calc: BINOMDIST function|'''BINOMDIST''']]
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* Excel does not have this function.
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 +
 
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{{SeeAlso|EN|
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* [[Documentation/How_Tos/Calc: BINOMDIST function|BINOMDIST]]
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* [[Documentation/How_Tos/Calc: Statistical functions|Statistical functions]]
  
[[Documentation/How_Tos/Calc: Statistical functions|'''Statistical functions''']]
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* [[Documentation/How_Tos/Calc: Functions listed alphabetically|Functions listed alphabetically]]
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* [[Documentation/How_Tos/Calc: Functions listed by category|Functions listed by category]]}}
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[[Category: Documentation/Reference/Calc/Statistical functions]]

Latest revision as of 08:38, 17 July 2018



B

Calculates probabilities for a binomial distribution.

Syntax:

B(n; p; k; k2)

With n independent trials, each with a probability p of success, B returns the probability that the number of successes will be between k and k2 inclusive, or if k2 is omitted the probability that the number of successes will be exactly k.
The probability is calculated as:
Calc b equation.png (where k2 = k if k2 is omitted).

Example:

B(10; 1/6; 2)

returns approximately 0.29 (29%), the probability that the number four will be thrown exactly twice in 10 throws of a die.

Issues:

  • Excel does not have this function.




See Also
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