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# System prepended metadata

title: Chapter2 Homework

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# Chapter2 Homework

#### Problem 2
> 出題日期 [2022/10/5](https://www.youtube.com/watch?v=ichmgGzF71Y&list=PLo8S7C_QopVSG9nWXqRDp6osj3PmXiSgD&index=9&ab_channel=HSNLNCKU)
* Prove that the sum of two independent homogeneous Poisson process $N_1(t;\lambda_1)$ and $N_1(t;\lambda_2)$ at rates $\lambda_1$ and $\lambda_2$,respectively, is a homogeneous Poisson process with rate $(\lambda_1+\lambda_2)$
