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).