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3.4 Some useful formulas

\(\lim _{n\rightarrow \infty }\left ( 1-\frac {z}{n}\right ) ^{n}=e^{-z}\)

\(\lim _{h\rightarrow 0}\left ( 1-\lambda h+o\left ( h\right ) \right ) ^{\frac {t}{h}}=e^{-\lambda t}\)

3.4.1 Law of total probability
3.4.2 Conditional (Bayes) formula
3.4.3 Inverse of a 2 by 2 matrix
3.4.4 \(\omega _{j}=\frac {1}{\mu _{j}}\)
3.4.5 \(\omega =\omega P\)
3.4.6 Poisson random variable
3.4.7 Poisson random Process
3.4.8 Exponential random variable

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