Matematika Berhingga Contoh

$\begin{array}{c} x & P (x) \\ 1 & - 13 \\ 2 & - 31 \\ 3 & - 59 \\ 4 & - 97 \\ 5 & - 146 \end{array}$

Langkah 1

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

1. Untuk setiap $x$ , $0 \leq P (x) \leq 1$ .

2. $P (x_{0}) + P (x_{1}) + P (x_{2}) + \dots + P (x_{n}) = 1$ .

Langkah 2

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

$- 13$ is not greater than or equal to $0$

Langkah 3

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

$- 31$ is not greater than or equal to $0$

Langkah 4

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

$- 59$ is not greater than or equal to $0$

Langkah 5

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

$- 97$ is not greater than or equal to $0$

Langkah 6

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

$- 146$ is not greater than or equal to $0$

Langkah 7

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

Tabel tidak memenuhi dua sifat dari distribusi probabilitas