A reasonable person is not a random (or more sensibly, the average) person though. I think a reasonable person would agree with my explanation. I'm not sure the average person would.
Edit: Apparently multiple people are misreading and assuming I'm trying to flatter myself here. "A reasonable person" is a pre-defined legal term that I have little choice but to use verbatim here. It's essentially a proper noun, but without capitalization. Specifically, I'm _not_ describing my own rationality when I say "a reasonable person" would agree with me. What I'm saying is that I think the legal "a reasonable person" would reason the same way I just reasoned. If you still don't get what I'm saying: had the legal term instead been "a stupid monkey", then my sentence would have read "a stupid monkey would agree with me".