(Answered) Question there are n people eligible to vote in a certain

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Question: There are n people eligible to vote in a certain election. Voting requires registration. Decisions are made independently. Each of the n people will register with probability p₁. Given that a person registers, he or she will vote with probability p₂. Given that a person votes, he or she will vote for Kodos (who is one of the candidates) with probability p₃. What is the distribution of the number of votes for Kodos (give the PMF, fully simplified, or the name of the distribution, including its parameters)?

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