In the 1992 presidential election, Alaska's 40 election districts averaged 2084 votes per district for President Clinton. The standard deviation was 595. (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.

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In the 1992 presidential election, Alaska's 40 election districts averaged 2084 votes per district for
President Clinton. The standard deviation was 595. (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.
Transcribed Image Text:In the 1992 presidential election, Alaska's 40 election districts averaged 2084 votes per district for President Clinton. The standard deviation was 595. (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.
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Step 1

The normal distribution:

A continuous random variable X is said to follow normal distribution if the probability density function of X is,

Statistics homework question answer, step 1, image 1

Standard normal distribution:

The standard normal distribution is a special case of normal distribution. The standard normal distribution will have mean 0 and standard deviation 1. If a random variable X follows normal distribution with mean (m) and standard deviation (σ), then the standard normal variable z will be as given below:

Statistics homework question answer, step 1, image 2

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