Ron Larson
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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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