有限数学 例

離散型確率変数${\displaystyle x}$は個別の値（${\displaystyle 0}$、${\displaystyle 1}$、${\displaystyle 2}$など）の集合をとります。その確率分布は、各可能な値${\displaystyle x}$に確率${\displaystyle P\left(x\right)}$を割り当てる。各${\displaystyle x}$について、確率${\displaystyle P\left(x\right)}$は${\displaystyle 0}$と${\displaystyle 1}$の間に含まれ、すべての可能な${\displaystyle x}$値に対する確率の合計は${\displaystyle 1}$に等しくなります。

${\displaystyle -13}$ 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.

確率${\displaystyle P\left(x\right)}$は、すべての${\displaystyle x}$値について${\displaystyle 0}$と${\displaystyle 1}$の間になく、確率分布の1番目の特性を満たしません。