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since both of the split bernoulli processes are dependent on whether there is a success/arrival at the original process, both of the new processes are dependent on the original right?
Yes, since knowing of an arrival in either of the split cases makes us certain of an arrival in the original process as well, they are not independent
since both of the split bernoulli processes are dependent on whether there is a success/arrival at the original process, both of the new processes are dependent on the original right?
Yes, since knowing of an arrival in either of the split cases makes us certain of an arrival in the original process as well, they are not independent