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Apr 12, 2022 at 22:20 history edited Jarle Tufto
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Apr 12, 2022 at 22:04 answer added Jarle Tufto timeline score: 5
Apr 12, 2022 at 12:06 comment added whuber For some ideas about this question and its generalizations, see this site search for answers about sampling, replacement, expectation, and indicator functions.
Apr 12, 2022 at 9:00 history tweeted twitter.com/StackStats/status/1513804120876101633
Apr 12, 2022 at 5:29 history became hot network question
Apr 12, 2022 at 3:28 vote accept brubsby
Apr 12, 2022 at 0:01 comment added knrumsey The answer will actually be the same in either case. This is because the marginal distribution of $X_1, X_2$ and $X_3$ is the same in both cases (although the joint distributions are different). Since expectation is a linear operation, only the marginal distributions matter here. Still its good that you're thinking about this, as it's non-trivial that they are the same, and they would have different expectations for a non-linear function of $X_1, X_2, X_3$.
Apr 11, 2022 at 23:53 answer added knrumsey timeline score: 12
Apr 11, 2022 at 22:45 answer added BruceET timeline score: 8
Apr 11, 2022 at 21:26 history asked brubsby CC BY-SA 4.0