Okay, I accept that I’m wrong and you’re right. Now the interesting part is that my mathematical intuition is not that great, but this is a pretty big fail even for it. So in between googling for crow recipes, I think I need to poke around my own mind and figure out which wrong turn did it happily take… I suspect I got confused about the expectation operator, but to confirm I’ll need to drag my math intuition into the interrogation room and start asking it pointed questions.
Okay, I accept that I’m wrong and you’re right. Now the interesting part is that my mathematical intuition is not that great, but this is a pretty big fail even for it. So in between googling for crow recipes, I think I need to poke around my own mind and figure out which wrong turn did it happily take… I suspect I got confused about the expectation operator, but to confirm I’ll need to drag my math intuition into the interrogation room and start asking it pointed questions.
Upvoted for public admission of error :-).
(In the unlikely event that I can help with the brain-fixing, e.g. by supplying more counterexamples to things, let me know.)