An application using the binomial distribution
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A pre-election poll shows Obama 52%, Clinton 48%. You conduct an exit survey after the next primary randomly querying 20 voters out of 100 who voted in the first hour. What is the probability that less than 50% say they voted for Obama (assuming that the poll reflects the eventual voting preference)?
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Solution Summary
Situations involving a finite number of independent trials, each of which has two outcomes of fixed probability can be modelled by the binomial distribution. The excel function binomdist can be used to calculate probabilities associated with a binomial distribution with speed and ease. The solution comprises an explanation of how to model the given situation using a binomial distribution, and how to use Binomdist to calculate the numerical answer.
Solution Preview
We have a sequence of 20 independent results with 2 possible outcomes of fixed probability.
Such a situation can be described by a binomial distribution with 20 trials and probability of success for each trial 0.52, if we define ...
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