Fitting Count Data with Poisson & NBD

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Assume I have a set of count data that I want to fit with a Poisson/NBD If I have data of the form: enter image description here

then it is rather simple...since we can simply use P(X=x). However what would be the approach to fitting data that was of the form:

enter image description here

i.e. what do I do for the bucket of values in 1-2.