Tire Life Range
1. The problem states that the mean life of a tire is 30,000 km and the standard deviation is 2,000 km.
2. According to the empirical rule (68-95-99.7 rule), approximately 68% of data in a normal distribution lies within one standard deviation of the mean.
3. One standard deviation below the mean is calculated as: $$30,000 - 2,000 = 28,000$$ km.
4. One standard deviation above the mean is calculated as: $$30,000 + 2,000 = 32,000$$ km.
5. Hence, 68% of all tires will have a life between 28,000 km and 32,000 km.
Final answer: 28,000 km and 32,000 km.