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The population of bacteria changes every minute by 5% up or down with equal likelihood. What is expected bacteria size after 50 min?

My approach: I figured out that it can't be 0, since the amount of increase/decrease is not same, it is percentage. But then how to do it, I have no idea.

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    $\begingroup$ What's the expected size after $1$ minute? What about $2$ minutes? $\endgroup$
    – lulu
    Aug 9, 2022 at 23:16
  • $\begingroup$ ah, it remains same $\endgroup$
    – Charlie
    Aug 10, 2022 at 12:38

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