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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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