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The manager of a multi-floor hotel reports the wait time for an elevator on any floor...

The manager of a multi-floor hotel reports the wait time for an elevator on any floor follows a uniform distribution. The shortest wait time is 2 minutes and the hotel guarantees guests won’t wait more than 6 minutes. 10% of the time, guests wait less than k minutes for the elevator. Find k. (Enter answer rounded to two decimals.)

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