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According to HBO, IMDB, Amazon, and Wikipedia Band of Brothers is a miniseries, and I've never heard it referred to otherwise.
I don't know if you want to edit it in to your comment but it is available on Amazon Prime Video for streaming: Band of Brothers
iTunes and Amazon are also options.
I do believe he means episodes. For example on amazon 'prime', EP 1 of Band of Brothers is $5. ONE episode. Fuck, that.