Suppose that 70% of eligible residents of Phelps county will actually vote in an upcoming election. Consider randomly selecting 10 eligible residents to take a poll. Let X be the number in the sample of 10 who will vote in the upcoming election.
- What kind of distribution does X have (give name and parameter values)?
- What is the expected number of residents in the sample who will vote?
- Calculate the probability that all 10 residents in the sample will vote.
- Calculate the probability that X exceeds its mean value by more than 1 standard deviation.