In a certain presidential election, Alaska's 40 electiondistricts averaged 1,952.8 votes per district for a...

In a certain presidential election, Alaska's 40 election districts averaged 1,952.8 votes per district for a candidate. The standard deviation was 572.1. (There are only 40 election districts in Alaska.) The distribution of the votes per district for one candidate was bell-shaped. Let X = number of votes for this candidate for an election district.

Part (c). Find the probability that a randomly selected district had fewer than 1,700 votes for this candidate. (Round your answer to four decimal places.)

Write the probability statement.

Part (d): Find the probability that a randomly selected district had between 1,800 and 2,000 votes for this candidate. (Round your answer to four decimal places.)

Part (e): Find the third quartile for votes for this candidate. (Round your answer up to the next vote.)

Expert Solution

Here in this scenario it is given that In a certain presidential election, Alaska's 40 election districts averaged 1,952.8 votes per district for a candidate. The standard deviation was 572.1. (There are only 40 election districts in Alaska.) The distribution of the votes per district for one candidate was bell-shaped normal distribution.

To compute the probability following formula and steps will be used further for calculating the 3rd Quartile we calculated the 75% percentile which is Equal to 3rd Quartile.

The above all probabilities calculated using Standerd normal z-table or using Excel.

The 75th percentile is same as 3rd Quartile.

orchestra answered 2 years ago

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