In the 1992 presidential election, Alaska's 40 election districts averaged 1920 votes per district for President Clinton. The standard deviation was 581. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let 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 1920 a population mean or a sample mean? Select an answer

c. Find the probability that a randomly selected district had fewer than 1896 votes for President Clinton.

d. Find the probability that a randomly selected district had between 1842 and 2057 votes for President Clinton.

e. Find the third quartile for votes for President Clinton. Round your answer to the nearest whole number.