What if all I can assign is a probability distribution of probabilities? Like in extraterrestrial life question. All that can be said is that extraterrestrial life is sufficiently rare to not find evidence of it yet. Our observation of our existence is conditioned on our existence, so it doesn’t provide much evidence one way or another.
Should I sample the distribution to give an answer, or maybe take mode, or mean, or median? I’ve chosen a value that is far from both extremes, but I might have done something else with no clear justification for any of the choices.
What if all I can assign is a probability distribution of probabilities? Like in extraterrestrial life question. All that can be said is that extraterrestrial life is sufficiently rare to not find evidence of it yet. Our observation of our existence is conditioned on our existence, so it doesn’t provide much evidence one way or another.
Should I sample the distribution to give an answer, or maybe take mode, or mean, or median? I’ve chosen a value that is far from both extremes, but I might have done something else with no clear justification for any of the choices.