**Question: **Consider a large population of families, and suppose that the number of children in the different families is independent Poisson random variables with mean λ. Show that the number of siblings of a randomly chosen child is also Poisson distributed with mean λ.

**Analytical Solution**

If you think about it, the first and the second sentence are basically talking about the same thing. Analytically, it can be proved as follows.

**Simulation Solution**

Looking at this in a database perspective, imagine that we have a table with three fields.

**Code**

End of the post 😉

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