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AEA
Equations Mathematics
*FIRST EXEMPLE:
\[ f(x) = \begin{cases} \lambda e^{-\lambda x} & \text{per a } x\geq 0 \\ 0 & \text{altrament} \end{cases} \]
*SECOND EXEMPLE:
\[ F(x) = P(X\leq x) = \begin{cases} 0 & \text{si } x < 0 \\ 1 - e^{-\lambda x} & \text{si } x\geq 0 \end{cases} \]
*THIRD EXEMPLE OF ESTADISTIC :
- La AVARANGE : \( \frac{1}{\lambda} \)
- La MIDDLE: \( \frac{\ln 2}{\lambda} \)
- La HOPE: \( E[X] = \frac{1}{\lambda} \)
- La VARIANCE : \( V(X) = \frac{1}{\lambda^2} \)