Sebaran probabilitas: Béda antarrépisi

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m mindahkeun Probability distribution ka Sebaran probabilitas
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Dina [[matematik]], '''probabilitisebaran sebaranprobabilitas''' nangtukeun unggal [[interval (mathematicsmatematika)|interval]] tina [[realwilangan numbernyata]] [[kamungkinan]], mangka kitu [[probabilityaksioma axiomsprobabilitas]] ''terpenuhi''. Dina watesan teknik, probabiliti sebaran nyaeta [[probability measure|probabiliti ukuran]] numana domain mangrupa [[Borelaljabar algebraBorel]] dina kaayaan riil.
 
Probabiliti sebaran dina kasus husus ngarupakeun notasi nu leuwih tina [[probability measure|probabiliti ukuran]], which is a function that assigns probabilities satisfying the [[Kolmogorov axioms]] to the measurable sets of a [[measurable space]].
 
EveryUnggal [[randomvariabel variableacak]] 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''].
 
TheSebaran probabilityprobabilitas distribution of the variablevariabel ''X'' canbisa besacara uniquelyunik describeddidadarkeun by itsku [[cumulativefungsi distributionsebaran functionkumulatif]] ''F''(''x''), which isnu definedditangtukeun byku
:<math>
F(x) = {\rm Pr} \left[ X \le x \right]
</math>
 
for anypikeun ''x'' inanggota '''R'''.
 
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.