Question: In constructing the vibrational partition function, we found that the definition depended on whether zero-point energy was included in the description of the energy levels.

In constructing the vibrational partition function, we found that the definition depended on whether zero-point energy was included in the description of the energy levels. However, the expression for the probability of occupying a specific vibrational energy level was independent of zero-point energy. Why? 

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