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Spring is in the air and a mosquito is in your apartment. You are watching it...

Spring is in the air and a mosquito is in your apartment. You are watching it fly and land on a set of stairs. Assuming that it needs 1kBT of energy to fly up from one step to the next, what would a Boltzmann’s distribution predict for the probability of finding it on any given step, if there are 10 steps total?

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