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May 3 at 21:46 comment added Alex M. You begin with $X_1 = X_2 = 0$, but this contradicts the OP's requirement that $X_1, X_2, X_3$ should be mutually independent.
Oct 16, 2021 at 23:29 vote accept Ulises Nunez
Oct 16, 2021 at 23:29 comment added Ulises Nunez Thanks very much. I appreciate the added detail.
Oct 15, 2021 at 22:29 history edited Botnakov N. CC BY-SA 4.0
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Oct 15, 2021 at 22:05 comment added Botnakov N. @UlisesNunez, I made an addition.
Oct 15, 2021 at 22:00 history edited Botnakov N. CC BY-SA 4.0
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Oct 15, 2021 at 20:12 comment added Ulises Nunez thank you for your response. please see edits to the question that clarify its intent.
Oct 15, 2021 at 19:08 history answered Botnakov N. CC BY-SA 4.0