(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A cell diverges into X new cells. Each of them reproduces in the same manner. X is a geometric random variable with success parameter of 0.25.

What is the expectation of the number of great-grandsons a cell have?

2. The attempt at a solution

I thought about using the formula EX=EEX|Y somehow, but it wasn't very useful:

If the number of children is C

and the number of grandsons is G

and the number of great-grandsons is N

then

N|G=GX

G|C=CX

C=X

here I got stuck, is it the right direction at all?

thanks..:)

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# Homework Help: What is the expectation of the number of great-grandsons a cell have?

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