binomial distribution

probability distribution
rdfs:label
"binomial distribution"@en
skos:altLabel
"التوزيع الثنائي"@ar
"التوزيع ذو الحدين"@ar
"توزيع احتمالي ثنائي الحد"@ar
"توزيع احتمالي ذي الحدين"@ar
"توزيع ثنائي"@ar
"توزيع ذي الحدين"@ar
schema:description
"probability distribution"@en
schema:dateModified "2026-09-28T09:10:10+00:00"^^xsd:dateTime
schema:version 2550410816
wikibase:identifiers 26
wikibase:sitelinks 58
wikibase:statements 50
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p:direct-normalized/P244 <http://id.loc.gov/authorities/names/sh85014113>
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<http://id.nlm.nih.gov/mesh/G17.820.250>
<http://id.nlm.nih.gov/mesh/N05.715.360.750.750.150>
<http://id.nlm.nih.gov/mesh/N06.850.520.830.994.250>
p:direct-normalized/P7033 <http://vocabulary.curriculum.edu.au/scot/11877>
wdt:P10283 "C41054675"
wdt:P10731 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi><mo stretchy="false">&#x2208;</mo><mo fence="false" stretchy="false">{</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mo stretchy="false">&#x2026;</mo><mo>,</mo><mi>n</mi><mo fence="false" stretchy="false">}</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P10732 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">!</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>x</mi><mo stretchy="false">!</mo><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">&#x2212;</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">!</mo></mrow></mrow></mfrac></mrow><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msup><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">&#x2212;</mo><mi>p</mi><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">&#x2212;</mo><mi>x</mi></mrow></mrow></msup></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="OPEN"><mo minsize="2.047em">(</mo></mrow><mfrac linethickness="0"><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></mfrac><mrow data-mjx-texclass="CLOSE"><mo minsize="2.047em">)</mo></mrow></mrow></mstyle></mrow><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msup><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">&#x2212;</mo><mi>p</mi><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">&#x2212;</mo><mi>x</mi></mrow></mrow></msup></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P10735 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>p</mi><msup><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">e</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow><mi>t</mi></mrow></mrow></msup><mo stretchy="false">+</mo><mn>1</mn><mo stretchy="false">&#x2212;</mo><mi>p</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msup></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P10738 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi><mi>p</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P10743 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi><mi>p</mi><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">&#x2212;</mo><mi>p</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P10744 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">&#x2212;</mo><mn>2</mn><mi>p</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mi>n</mi><mi>p</mi><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">&#x2212;</mo><mi>p</mi><mo stretchy="false">)</mo></mrow></msqrt></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P10745 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">&#x2212;</mo><mn>6</mn><mi>p</mi><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">&#x2212;</mo><mi>p</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mi>p</mi><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">&#x2212;</mo><mi>p</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P10747 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>p</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">e</mi></mrow><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msup><mo stretchy="false">&#x2212;</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msup></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P11514 "binomial-noe-raspredelenie-b4dc1c"
wdt:P1343 ISO 3534-1:2006(en) Statistics — Vocabulary and symbols — Part 1: General statistical terms and terms used in probability
wdt:P13591 "concept/bbb8c400-22b4-4a4a-939e-b7f0e9c0133f"
wdt:P1368 "000327257"
wdt:P13750 "977"
wdt:P1417 "topic/binomial-distribution"
wdt:P14864 "binomijakauma"
wdt:P18 <http://commons.wikimedia.org/wiki/Special:FilePath/Binomial%20distribution%20PDF.svg>
wdt:P227 "4145587-3"
wdt:P244 "sh85014113"
wdt:P2534 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>P</mi><mo stretchy="false">(</mo><mi>X</mi><mo stretchy="false">=</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="OPEN"><mo minsize="2.047em">(</mo></mrow><mfrac linethickness="0"><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></mfrac><mrow data-mjx-texclass="CLOSE"><mo minsize="2.047em">)</mo></mrow></mrow></mstyle></mrow><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msup><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">&#x2212;</mo><mi>p</mi><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">&#x2212;</mo><mi>x</mi></mrow></mrow></msup></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P279 Panjer distribution
multinomial distribution
discrete probability distribution
Poisson binomial distribution
univariate probability distribution
wdt:P2812 "BinomialDistribution"
wdt:P31 mathematical concept
wdt:P3417 "Binomial-Distribution"
wdt:P373 "Binomial distributions"
wdt:P3827 "binomial-distributions"
wdt:P4342 "binomisk_fordeling"
wdt:P4746 "133812"
wdt:P486 "D016010"
wdt:P5008 Wikipedia:Vital articles/Level/4
wdt:P6104 WikiProject Mathematics
wdt:P6366 "41054675"
wdt:P646 "/m/018rn"
wdt:P672 "E05.318.740.994.250"
"G17.820.250"
"N05.715.360.750.750.150"
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wdt:P691 "ph249419"
wdt:P7033 "scot/11877"
wdt:P7235 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>P</mi><mo stretchy="false">(</mo><mi>X</mi><mo stretchy="false">=</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>X</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="OPEN"><mo minsize="2.047em">(</mo></mrow><mfrac linethickness="0"><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></mfrac><mrow data-mjx-texclass="CLOSE"><mo minsize="2.047em">)</mo></mrow></mrow></mstyle></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P8189 "987007282570105171"
wdt:P8313 "binomialfordeling"
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