Exit polls, or interviews with voters right after they cast their ballots, are conducted by a television reporter who is covering a big city’s mayoral election. The objective of these exit polls is to provide an early estimate of the result. Assume that 60% of the votes will go to the final election winner. a) If the random sample of voters is 25, find the probability that 13 or more of the sample’s voters will have chosen the ultimate victor. b) Calculate the sample of people that the reporter needs to interview in case the probability of accurately estimating the result would be 0.95 or bigger.

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Exit polls, or interviews with voters right after they cast their ballots, are
conducted by a television reporter who is covering a big city’s mayoral
election. The objective of these exit polls is to provide an early estimate of the
result. Assume that 60% of the votes will go to the final election winner.
a) If the random sample of voters is 25, find the probability that 13 or more of
the sample’s voters will have chosen the ultimate victor.
b) Calculate the sample of people that the reporter needs to interview in case
the probability of accurately estimating the result would be 0.95 or bigger. 

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