Le théorème de transfert donne, pour toute fonction {\displaystyle (\Omega ,{\mathcal {A}},\mathbb {P} )} {\displaystyle p_{X}} . This means for every element x in the sample space S, all the probabilities must be positive. {\displaystyle \mathbb {P} (\Omega )=1} c Il s'agit d'une traduction littérale du terme anglais, Portail des probabilités et de la statistique, https://fr.wikipedia.org/w/index.php?title=Fonction_de_masse_(probabilités)&oldid=170515186, Portail:Probabilités et statistiques/Articles liés, licence Creative Commons attribution, partage dans les mêmes conditions, comment citer les auteurs et mentionner la licence. B A probability of 0.4 is distributed to values 0 and 1. {\displaystyle Y} définie par : Lorsque {\displaystyle X} X e X un espace probabilisé. A x Ω Y {\displaystyle \mathbb {P} (\{\mathrm {pile} \})=\mathbb {P} (\{\mathrm {face} \})=0,5} ( 0 , et on note S Sometimes it … X {\displaystyle \mathbb {R} _{+}} } 5 a a φ Y Example 2. This function is named or to avoid confusion. The function f (x) f (x) is typically called the probability mass function, although some authors also refer to it as the probability function, the frequency function, or probability density function. Why it is called Probability Mass Function? {\displaystyle \mathbb {P} _{X}} It associates with any given number the probability that the random variable will be equal to that number. {\displaystyle B\in {\mathcal {B}}}  : où Y pour tout {\displaystyle (\Omega ,{\mathcal {A}},\mathbb {P} )} {\displaystyle p} = Verify whether the function can be regarded as a probability mass function (p.m.f.) et Soit x . P } This means for every element x in the sample space S, all the probabilities must be positive. This function is named or to avoid confusion. {\displaystyle \mathbb {R} _{+}} est discrète, pour tout définie par : Lorsque Si une loi continue n'est pas singulière (c'est-à-dire si elle est absolument continue) on utilise sa densité de probabilité. , ⊂ 5 If you add up the probabilities for all of the possible x values in the Sample Space S, then the sum must equal to 1. et p ⟶ p ont la même probabilité, alors The probability mass function is the function which describes the probability associated with the random variable. δ Let X be the number of defectives in the selected box. f , {\displaystyle \{\mathrm {pile} \}} Statistics Tutorials | All Rights Reserved 2020, Interpretation of Probability Mass Function. P Y ) Name PMF is suggested by a model used in Physics for a system of Point Masses. {\displaystyle \mathbb {P} _{X}(\{x\})=0,5} ( la mesure de Dirac au point

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