In the final count, Hillary Clinton\'s lead in the popular vote of the 2016 pres

Question

In the final count, Hillary Clinton's lead in the popular vote of the 2016 presidential election was nearly three million votes. According to the independent, non-partisan Cook Political Report, Clinton's final tally came in at 65,844,610, compared to Donald Trump's 62,979,636, with a difference of 2,864,974.  Clinton obtained 48.2 percent of the popular vote while Trump received 46.1 percent. If we randomly select three 2016 individuals who voted int the 2016 presidential election. On average, how many voters would you expect to sample before selecting someone who voted for Trump?

Explanation / Answer

This is a case of a geometric distribution with parameter p = probability that trump is voted.

Therefore, p = 0.461 here as it receives 46.1% of the votes

The expected number of voters required to be sampled before selecting someone who voted trump is computed here as:

= 1/p

= 2.17 voters

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