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April loves Sudoku puzzles. She has an app on her phone that generates Sudoku puzzles of varying degrees of difficulty. Recently, April has been attempting

April loves Sudoku puzzles. She has an app on her phone that generates Sudoku puzzles of varying degrees of difficulty. Recently, April has been attempting the "impossible" level puzzles. For any given impossible level Sudoku puzzle, the time (in minutes) it takes for April to complete the puzzle is normally distributed with mean \mu=13.84 and unknown variance \sigma^2. If the probability that April finishes an impossible level Sudoku puzzle in less than 10.94 minutes is 0.09, find the variance of the total amount of time it takes April to complete the next five impossible level Sudoku puzzles that she attempts. Do not include any units in your answer.

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