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Statistics 101! Most of you should be able to solve this.
>An alien lands on Earth.
>Every hour, the alien either spends the hour duplicating itself (with there being two aliens at the end of the hour) or resting (while it gathers food for an hour).
>If an hour was spent resting, then the next hour the alien has a .5 probability of resting again, and a .5 probability of spending the hour duplicating itself.
>If an hour was spent duplicating, then the next hour the alien has a .6 probability of resting, and a .4 probability of duplicating itself again.
>All duplicates of the alien (And all duplicates of duplicates, etc. etc.) go through this same process of resting/self-replicating.
How long until there are 5 million aliens?