Matematika Berhingga Contoh

Variabel acak diskrit ${\displaystyle x}$ mengambil satu himpunan nilai yang terpisah (seperti ${\displaystyle 0}$, ${\displaystyle 1}$, ${\displaystyle 2}$...). Distribusi probabilitas menetapkan probabilitas ${\displaystyle P\left(x\right)}$ untuk setiap nilai yang memungkinkan ${\displaystyle x}$. Untuk setiap ${\displaystyle x}$, probabilitas ${\displaystyle P\left(x\right)}$ berada di antara ${\displaystyle 0}$ dan ${\displaystyle 1}$ inklusif dan jumlah dari probabilitas untuk semua kemungkinan nilai-nilai ${\displaystyle x}$ sama dengan ${\displaystyle 1}$.

${\displaystyle -13}$ 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.

Probabilitas ${\displaystyle P\left(x\right)}$ tidak berada antara ${\displaystyle 0}$ dan ${\displaystyle 1}$ inklusif untuk semua nilai ${\displaystyle x}$, yang tidak memenuhi sifat pertama dari distribusi probabilitas.