Quote:
Originally Posted by nkatz
So can you say that P(X) populates the bin and determines mu? In that case we would be sampling P(X); is this correct?
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affects the value of
because it affects the probability of each
, so the probability of red marbles (i.e.,
's where
) changes accordingly. We are sampling according to
, except that when we look at the bin abstraction of the situation, we only care about the color of
not its identity, so the binary-event probability
is sufficient to characterize sampling of the marbles.