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IANA Lawyer, but my brother-in-law is professor of law at a great metropolitan law school.
The first point is you need to distinguish between the juror’s thoughts and the evidence. Watch LAW AND ORDER. The police find a bloody knife in the defendent’s car, but they didn’t have a search warrant so the gun is ruled as inadmissable. The jury may NOT read a newspaper that says “Bloody Knife found in Car!” and accept that as evidence.
The rules are generally intended to protect the defendents. The jury may ONLY consider the evidence that is presented, and may NOT consider any other information. “The jury will disregard that comment” means just that.
This doesn’t mean the jury is not permitted to think or to exercise common sense, of course they are. But they must base their decision on the evidence and testimony that was presented, not on outside information that is not presented as evidence. Anything presented as evidence or testimony, the other side has a chance to refute, and the whole basis of the US legal system is that confrontational aspect. If there is information that the jury has that was not presented as evidence, then the other side has had no chance to refute it.
If one side presented an expert witness that the Eggos were terrorrist agents, the other side would presumably present an expert witness to describe the symptoms of paranoia, and the jury would then be asked to exercise their judgement and intelligence in figuring out which side to believe.
My only jury experience, the state was trying to buy some land to expand the road. They brought in an expert witness who said the value of the land was (say) $30,000. The other side (the owner of the land) did not appear. The judge’s instruction was that we the jury must now find that the value of the land was $30,000. He said that if the other side had shown up and presented an expert witness who said the land was worth $100,000, then we could decide on any value in between; however, since we had only one price, we must decide on that price.
One juror said he was upset by this, and would like to know why the other side didn’t show up (visions of a wheelchair-bound little old great-grandmother sprung to mind). The judge said that juror was dismissed, and he pulled an alternate juror into the box.
Thus, the jury can request any evidence that was presented (the one page of the book, for instance, but not the rest of the book) or can request to see the transcript of any testimony, to help them in their deliberation. But they may NOT request any additional information.
The second area is a clarification of the law. Most judges will happily explain any point of law, or restate it. This can mean a repetition of the original instructions. But sometimes juries do ask questions that were not included in the original instructions (often asking about what compromise decisions are possible, if any) and the judge will almost always answer those questions, or run the risk of being overturned by the next higher court.