A candidate receives 60% of the N votes in an election, where N is very large, like a million. Compute the probability that he leads after a count of...

A candidate receives 60% of the N votes in an election, where N is very large, like a million.Compute the probability that he leads after a count of the first 100 votes.An airline knows from past experience that 95% of passengers who buy tickets will not miss a given flight. The planes for this flight have 200 seats and the airline decides to sell 210 tickets.Use a Poisson approximation to compute the probability that more than 200 people would show up for the flight. If the airline wants to make sure that this kind of over-booking does not happen for more than 10% of the flights, how many tickets should they sell (at most)?

1. A candidate receives 60% of the N votes in an election, where N is very large, like amillion. Compute the probability that he leads after a count of the first 100 votes.Solution: binomdist...