Assume that there is an election between two candidates A and B. Suppose that in an election day, it is reliably estimated that candidate A is favored by fraction fA of the registered voters, and candidate B is favored by the remaining fraction 1 - fA. But it is well known that not all voters show up to the polls on election day. Suppose that historical voting patterns shows that fraction QA of A’s supporters will actually vote, as will the fraction QB of B’s supporters. For what particular values of fA; QA and QB will the candidate A win the election?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Assume that there is an election between two candidates A and B. Suppose
that in an election day, it is reliably estimated that candidate A is favored by fraction fA of the registered voters, and candidate B is favored by the remaining fraction 1 - fA. But it is well known that not all voters show up to the polls on election day. Suppose that historical voting patterns shows that fraction QA of A’s supporters will actually vote, as will the fraction QB of B’s supporters. For what particular values of fA; QA and QB will the candidate A win the election?
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