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There were no statistics to disregard.How do you disregard the statistics so easily? Nobody is saying the prosecution spent a day outlining statistical arguments (the ridiculous shift chart aside).
The whole argument comes down to: was it coincidence or wasn’t it. Either you believe there are too many coincidences that it’s simply not possible she’s not guilty, or you believe it’s a series of coincidences where things have been twisted to point the finger of deliberate harm by an individual. The medical evidence is evidently up for debate, so what’s left if not statistical arguments?
I fail to see what was "ridiculous" about the shift chart. It was simply a statement of facts - those facts being when she was on shift and that the things she was charged with happened during those shifts.
Of course it was "coincidence". Her shifts co-incided with the events she was charged with. It was up to the jury to decide what weight to put on those facts and they were free to ascribe any level of significance they chose to said facts from it being pure unfortunate chance to it being evidence that he was a serial murderer and everything and anything in-between.