Ron Larson
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8.1 Assigning a Measure to Likelihood

8.1 Assigning a Measure to Likelihood
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  • 15. Female Life Expactancy

    The graph shows the life expectancies of females from 1980 through 2007 for 5 countries. Discuss any trends in the graph of life expectancies of females. (See Example 5 and Example 6.)

    • Worked-Out Solution

      The life expectancy for females increased in each country. In Australia, Germany, Spain, and the United States, life expectancy increased at about the same rate. The female life expectancy in Turkey increased at a greater rate than the other countries.

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      ______   _    _    _    _      ___      ______  
 /_   _// | || | || | \  / ||   / _ \\   /_   _// 
 `-| |,-  | || | || |  \/  ||  | / \ ||  `-| |,-  
   | ||   | \\_/ || | .  . ||  | \_/ ||    | ||   
   |_||    \____//  |_|\/|_||   \___//     |_||   
   `-`'     `---`   `-`  `-`    `---`      `-`'
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  • 16. Male Life Expectancy

    The graph shows the life expectancies of males from 1980 through 2007 for 5 countries. Discuss any trends in the graph of the life expectancies of males. (See Example 5 and Example 6.)

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    __    __   _    _     _____     _____     ______  
\ \\ / // | || | ||  / ____||  |  ___||  /_   _// 
 \ \/ //  | || | || / //---`'  | ||__    `-| |,-  
  \  //   | \\_/ || \ \\___    | ||__      | ||   
   \//     \____//   \_____||  |_____||    |_||   
    `       `---`     `----`   `-----`     `-`'
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  • 17. Life Expectancy by Country

    Order the countries by female life expectancy from least to greatest for 1980 and 2007. Compare the orders. (See Example 5 and Example 6.)

    • Worked-Out Solution

      1980

      Turkey: 60

      Germany: 76

      United States: 77

      Australia: 78

      Spain: 79

      2007

      Turkey: 76

      United States: 81

      Germany: 83

      Australia: 84

      Spain: 84

      Germany and the United States switched orders. Spain still has the greatest female life expectancy and Turkey still has the least female life expectancy.

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     __   __   _    _     _____     ______     _____  
 \ \\/ // | || | ||  |__  //   /_   _//   / ___// 
  \   //  | || | ||    / //     -| ||-    \___ \\ 
  / . \\  | \\_/ ||   / //__    _| ||_    /    // 
 /_//\_\\  \____//   /_____||  /_____//  /____//  
 `-`  --`   `---`    `-----`   `-----`  `-----`
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  • 18. Life Expectancy by Country

    Order the countries by male life expectancy from least to greatest for 1980 and 2007. Compare the orders. (See Example 5 and Example 6.)

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     _    _      ___                 ___     ______   
| |  | ||   / _ \\      ___     / _ \\  |      \\ 
| |/\| ||  | / \ ||    /   ||  | / \ || |  --  // 
|  /\  ||  | \_/ ||   | [] ||  | \_/ || |  --  \\ 
|_// \_||   \___//     \__ ||   \___//  |______// 
`-`   `-`   `---`       -|_||   `---`   `------`  
                         `-`
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  • 19. Comparing Life Expectancy

    Compare the life expectancy of females and males for each country. What do you notice? (See Example 5 and Example 6.)

    • Worked-Out Solution

      Here are some observations.

      • In Each country in 1980, the life expectancy for females was greater than for males.
      • In Each country in 2007, the life expectancy for females was greater than for males.
      • In each country and for each year, the life expectancy for females was about 5 years greater than for males.
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      ______   __   __   _    _    __   __   _____    
 /_   _//  \ \\/ // | || | ||  \ \\/ // |  __ \\  
   | ||     \ ` //  | || | ||   \ ` //  | |  \ || 
  _| ||      | ||   | \\_/ ||    | ||   | |__/ || 
 /__//       |_||    \____//     |_||   |_____//  
 `--`        `-`'     `---`      `-`'    -----`
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  • 20. Increase in Life Expectancy

    Which country had the greatest increase in life expectancy for females? Which country had the greatest increase in life expectancy for males? (See Example 5 and Example 6.)

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     __   _      ___      ______     ___      ____    
| || | ||   / _ \\   /_   _//   / _ \\   |  _ \\  
| '--' ||  / //\ \\  `-| |,-   | / \ ||  | |_| || 
| .--. || |  ___  ||   | ||    | \_/ ||  | .  //  
|_|| |_|| |_||  |_||   |_||     \___//   |_|\_\\  
`-`  `-`  `-`   `-`    `-`'     `---`    `-` --`
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