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10. (12 points) The duration time of a football game is normally distributed with mean of 192 minutes and standard deviation of 12 minutes.

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10. (12 points) The duration time of a football game is normally distributed with mean of 192 minutes and standard deviation of 12 minutes. (a) (4 points) What is the probability that a football game will last more than 180 minutes? (b) (4 points) What is the probability that the duration of a game will be between 180 and 204 minutes? (c) (4 points) What is the duration of the 5% longest football games?

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