Qualify for the regional track championship


A regional track championship has decided that they will invite the fastest 15% of runners in their region (runners with the shortest time). The mile time of all potential runners in this region are normally distributed with a mean of 8.8 minutes and a standard deviation of 2.3 minutes. What is the cutoff time for a runner to qualify for the regional track championship?

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Basic Statistics: Qualify for the regional track championship
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