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Display information for equation id:math.224734.12 on revision:224734

* Page found: Probability mass function (eq math.224734.12)

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Hash: 5da3769d574f3e0b32ab5055311cb85d

TeX (original user input): 

P(X=b)=P(X^{-1}( \{ b \} )) := \int_{X^{-1}(\{b \})} dP = \int_{ \{b \}} f d \mu = f(b),

TeX (checked): 

P(X=b)=P(X^{-1}(\{b\})):=\int _{X^{-1}(\{b\})}dP=\int _{\{b\}}fd\mu =f(b),

LaTeXML (experimental; uses MathML) rendering

MathML (10.154 KB / 1.639 KB) :

P ( X = b ) = P ( X - 1 ( { b } ) ) := ∫ X - 1 ⁢ ( { b } ) d P = ∫ { b } f d μ = f ( b ) , fragments P fragments ( X b ) P fragments ( superscript 𝑋 1 fragments ( fragments { b } ) ) assign subscript superscript 𝑋 1 𝑏 d P subscript 𝑏 f d μ f fragments ( b ) , {\displaystyle{\displaystyle P(X=b)=P(X^{-1}(\{b\})):=\int_{X^{-1}(\{b\})}dP=% \int_{\{b\}}fd\mu=f(b),}} 
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upper P left-parenthesis upper X equals b right-parenthesis equals upper P left-parenthesis upper X Superscript negative 1 Baseline left-parenthesis StartSet b EndSet right-parenthesis right-parenthesis colon equals integral Underscript upper X Superscript negative 1 Baseline times left-parenthesis StartSet b EndSet right-parenthesis Endscripts d upper P equals integral Underscript StartSet b EndSet Endscripts f d mu equals f left-parenthesis b right-parenthesis comma

SVG (MathML can be enabled via browser plugin) rendering

MathML (2.146 KB / 523 B) :

P ( X = b ) = P ( X − 1 ( { b } ) ) := ∫ X − 1 ( { b } ) d P = ∫ { b } f d μ = f ( b ) , {\displaystyle P(X=b)=P(X^{-1}(\{b\})):=\int _{X^{-1}(\{b\})}dP=\int _{\{b\}}fd\mu =f(b),} 
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SVG (11.32 KB / 4.373 KB) :

{\displaystyle P(X=b)=P(X^{-1}(\{b\})):=\int _{X^{-1}(\{b\})}dP=\int _{\{b\}}fd\mu =f(b),}

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