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Chapter 8 Review Exercises

Chapter 8 Review Exercises
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  • 19. Summer Weather

    The table shows the probability of sunshine or rain on any given day in July for a town. What is the probability of rain three days in a row?

    • Worked-Out Solution

      The probability of rain three days in a row is

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      ____       ___               _    _   __    __  
     |  _ \\    / _ \\    ____    | || | || \ \\ / // 
     | |_| ||  | / \ ||  |    \\  | || | ||  \ \/ //  
     | .  //   | \_/ ||  | [] ||  | \\_/ ||   \  //   
     |_|\_\\    \___//   |  __//   \____//     \//    
     `-` --`    `---`    |_|`-`     `---`       `     
                         `-`                          
    
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  • 20. Summer Weather

    The table shows the probability of sunshine or rain on any given day in July for a town. What is the probability of sunshine five days in a row?

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       _____     ___      _  _      ___      _  __  
      / ___//   / _ \\   | \| ||   / _ \\   | |/ // 
      \___ \\  / //\ \\  |  ' ||  / //\ \\  | ' //  
      /    // |  ___  || | .  || |  ___  || | . \\  
     /____//  |_||  |_|| |_|\_|| |_||  |_|| |_|\_\\ 
    `-----`   `-`   `-`  `-` -`  `-`   `-`  `-` --` 
                                                    
    
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  • 21. Summer Weather

    The table shows the probability of sunshine or rain on any given day in July for a town. What is the probability of rain at least one day in a week?

    • Worked-Out Solution

      The probability that it is sunny for all 7 days in the week is

      So, the probability that it will rain at least one day during the week is

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     _    _     _____     _  _    __   __   __   _   
    | \  / ||  |  ___||  | \| ||  \ \\/ // | || | || 
    |  \/  ||  | ||__    |  ' ||   \ ` //  | '--' || 
    | .  . ||  | ||__    | .  ||    | ||   | .--. || 
    |_|\/|_||  |_____||  |_|\_||    |_||   |_|| |_|| 
    `-`  `-`   `-----`   `-` -`     `-`'   `-`  `-`  
                                                     
    
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  • 22. Summer Weather

    The table shows the probability of sunshine or rain on any given day in July for a town. What is the probability of sunshine at least once during a week?

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      ______   __   __   __   _      ___      _  __  
     /_   _//  \ \\/ // | || | ||   / _ \\   | |/ // 
       | ||     \ ` //  | '--' ||  | / \ ||  | ' //  
      _| ||      | ||   | .--. ||  | \_/ ||  | . \\  
     /__//       |_||   |_|| |_||   \___//   |_|\_\\ 
     `--`        `-`'   `-`  `-`    `---`    `-` --` 
                                                     
    
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  • 23. Winter Weather

    The probability of snow on any given day in December for a town is 30%. What is the probability of snow four days in a row?

    • Worked-Out Solution

      The probability of snow 4 days in a row is

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      _____     _____    _    _      ___      ______  
     |__  //   |  ___|| | |  | ||   / _ \\   /_   _// 
       / //    | ||__   | |/\| ||  | / \ ||  `-| |,-  
      / //__   | ||__   |  /\  ||  | \_/ ||    | ||   
     /_____||  |_____|| |_// \_||   \___//     |_||   
     `-----`   `-----`  `-`   `-`   `---`      `-`'   
                                                      
    
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  • 24. Winter Weather

    The probability of snow on any given day in December for a town is 30%. What is the probability of no snow six days in a row?

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     _    _     _____                ___     ______   
    | \  / ||  |  ___||   ____      / _ \\  |      \\ 
    |  \/  ||  | ||__    |    \\   | / \ || |  --  // 
    | .  . ||  | ||__    | [] ||   | \_/ || |  --  \\ 
    |_|\/|_||  |_____||  |  __//    \___//  |______// 
    `-`  `-`   `-----`   |_|`-`     `---`   `------`  
                         `-`                          
    
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  • 25. Winter Weather

    The probability of snow on any given day in December for a town is 30%. What is the probability of snow at least once during the week?

    • Worked-Out Solution

      The probability that it doesn't snow for all 7 days in the week is

      So, the probability that it will snow at least one day during the week is

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      ______   _    _     _____    __   __  __    __  
     /_   _// | || | ||  |__  //   \ \\/ // \ \\ / // 
     `-| |,-  | || | ||    / //     \ ` //   \ \/ //  
       | ||   | \\_/ ||   / //__     | ||     \  //   
       |_||    \____//   /_____||    |_||      \//    
       `-`'     `---`    `-----`     `-`'       `     
                                                      
    
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  • 26. Winter Weather

    The probability of snow on any given day in December for a town is 30%. What is the probability of no snow at least once during a week?

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     __   __     ___       _____     ___      _  _   
     \ \\/ //   / _ \\    / ___//   / _ \\   | \| || 
      \   //   / //\ \\   \___ \\  / //\ \\  |  ' || 
      / . \\  |  ___  ||  /    // |  ___  || | .  || 
     /_//\_\\ |_||  |_|| /____//  |_||  |_|| |_|\_|| 
     `-`  --` `-`   `-` `-----`   `-`   `-`  `-` -`  
                                                     
    
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