फाइनाइट मैथ उदाहरण

एक असतत यादृच्छिक चर ${\displaystyle x}$ अलग-अलग मानों का एक सेट लेता है (जैसे ${\displaystyle 0}$, ${\displaystyle 1}$, ${\displaystyle 2}$...). इसका प्रायिकता वितरण प्रत्येक संभावित मान ${\displaystyle x}$ के लिए एक प्रायिकता ${\displaystyle P\left(x\right)}$ निर्दिष्ट करता है. प्रत्येक ${\displaystyle x}$ के लिए, प्रायिकता ${\displaystyle P\left(x\right)}$, ${\displaystyle 0}$ और ${\displaystyle 1}$ समावेशी के बीच आती है और सभी संभावित ${\displaystyle x}$ मानों के लिए प्रायिकता का योग ${\displaystyle 1}$ के बराबर होता है.

${\displaystyle -13}$ is not greater than or equal to ${\displaystyle 0}$, which doesn't meet the first property of the probability distribution.

${\displaystyle -31}$ is not greater than or equal to ${\displaystyle 0}$, which doesn't meet the first property of the probability distribution.

${\displaystyle -59}$ is not greater than or equal to ${\displaystyle 0}$, which doesn't meet the first property of the probability distribution.

${\displaystyle -97}$ is not greater than or equal to ${\displaystyle 0}$, which doesn't meet the first property of the probability distribution.

${\displaystyle -146}$ is not greater than or equal to ${\displaystyle 0}$, which doesn't meet the first property of the probability distribution.

प्रायिकता ${\displaystyle P\left(x\right)}$, सभी ${\displaystyle x}$ मानों को मिलाकर, ${\displaystyle 0}$ और ${\displaystyle 1}$ के बीच नहीं आती है, जो प्रायिकता वितरण की पहले गुणधर्म को पूरा नहीं करती है.