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Hampton Davies
05/02/2024 · Primary School

In the 1992 presidential election, Alaska's 40 election districts averaged 1927 votes per district for President Clinton. The standard deviation was 584 . (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let \( \mathrm{X}= \) number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places. a. What is the distribution of X? X - N b. Is 1927 a population mean or a sample mean? Select an answer \( ~ \) c. Find the probability that a randomly selected district had fewer than 1986 votes for President Clinton. d. Find the probability that a randomly selected district had between 2121 and 2382 votes for President Clinton. e. Find the first quartile for votes for President Clinton. Round your answer to the nearest whole number.

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a. \( X \sim N(1927, 584^2) \) b. Population mean c. 0.5404 d. 0.1517 e. 1532

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