Sebaran probabilitas: Béda antarrépisi

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Dina [[matematikmatematika]], '''sebaran probabilitas''' nangtukeun unggal [[interval (matematika)|interval]] tina [[wilangan nyata]] [[kamungkinan]], mangka kitu [[aksioma probabilitas]] ''terpenuhi''. Dina watesan teknik, probabiliti sebaran nyaeta [[probabilityukuran measure|probabiliti ukuranprobabilitas]] numana domain mangrupa [[aljabar Borel]] dina kaayaan riil.
 
ProbabilitiProbabilitas sebaran dina kasus husus ngarupakeun notasi nu leuwih tina [[probabilityukuran measure|probabiliti ukuran]]probabilitas, whichnyaéta isfungsi a function thatnu assigns probabilities satisfying the [[Kolmogorov axioms]] to the measurable sets of a [[measurable space]].
 
Unggal [[variabel acak]] gives rise to a probability distribution, and this distribution contains most of the important information about the variable. If ''X'' is a random variable, the corresponding probability distribution assigns to the interval [''a'', ''b''] the probability Pr[''a'' ≤ ''X'' ≤ ''b''], i.e. the probability that the variable ''X'' will take a value in the interval [''a'', ''b''].
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pikeun ''x'' anggota '''R'''.
 
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A distribution is called ''discrete'' if its cumulative distribution function consists of a sequence of finite jumps, which means that it belongs to a [[discrete random variable]] ''X'': a variable which can only attain values from a certain finite or [[countable]] set.
A distribution is called ''continuous'' if its cumulative distribution function is [[continuous]], which means that it belongs to a random variable ''X'' for which Pr[ ''X'' = ''x'' ] = 0 for all ''x'' in '''R'''.