[Solution] We saw in Exercise 5.159 that the negative binomial random variable Y can be written as Y=∑_i=1^r W_i, where W_1, W_2, ..., W_r are independent


Question: We saw in Exercise 5.159 that the negative binomial random variable \(Y\) can be written as \(Y=\sum_{i=1}^{r} W_{i}\), where \(W_{1}, W_{2}, \ldots, W_{r}\) are independent geometric random variables parameter \(p\).

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