Question

In the 1992 presidential election, Alaska's 40 election districts averaged 2057 votes per district for President Clinton. The standard deviation was 588. (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 2057 a population mean or a sample mean? Select an answer Sample Mean Population Mean  

c. Find the probability that a randomly selected district had fewer than 2099 votes for President Clinton.  

d. Find the probability that a randomly selected district had between 2076 and 2245 votes for President Clinton.  

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

Answer 1

a. What is the distribution of X?

X ~ N(2057,588²)

b. Is 2057 a population mean or a sample mean?

2057 is a population mean because it consists of all the districts of the Alaska.

c. Find the probability that a randomly selected district had fewer than 2099 votes for President Clinton.  

d. Find the probability that a randomly selected district had between 2076 and 2245 votes for President Clinton.  

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

x=588*0.6745+2057=2453.606

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