b:head_first_statistics:using_discrete_probability_distributions
Differences
This shows you the differences between two versions of the page.
| Both sides previous revisionPrevious revisionNext revision | Previous revision | ||
| b:head_first_statistics:using_discrete_probability_distributions [2025/09/24 07:18] – [Expectation gives you . . .] hkimscil | b:head_first_statistics:using_discrete_probability_distributions [2025/09/25 07:04] (current) – [확률의 연산] hkimscil | ||
|---|---|---|---|
| Line 318: | Line 318: | ||
| ===== 확률의 연산 ===== | ===== 확률의 연산 ===== | ||
| + | SEE [[:Expected value and variance properties]] | ||
| \begin{eqnarray*} | \begin{eqnarray*} | ||
| Line 324: | Line 325: | ||
| E(X + Y) & = & E(X) + E(Y) \\ | E(X + Y) & = & E(X) + E(Y) \\ | ||
| Var(X + Y) & = & Var(X) + Var(Y) \\ | Var(X + Y) & = & Var(X) + Var(Y) \\ | ||
| - | \end{eqnarray*} | + | \\ |
| - | + | ||
| - | \begin{eqnarray*} | + | |
| E(X1 + X2 + \ldots Xn) & = & nE(X) \\ | E(X1 + X2 + \ldots Xn) & = & nE(X) \\ | ||
| Var(X1 + X2 + \ldots Xn) & = & nVar(X) \\ | Var(X1 + X2 + \ldots Xn) & = & nVar(X) \\ | ||
| - | \\ | + | \text{c.f., } \;\; |
| + | Var(X1 + X1 + X1) & = & 9 * Var(X)\\ | ||
| \end{eqnarray*} | \end{eqnarray*} | ||
b/head_first_statistics/using_discrete_probability_distributions.1758665925.txt.gz · Last modified: by hkimscil