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Lifespans (measured in kilometres travelled) of Brand X tires have a N(60,000; 7750) distribution. The manufacturer pledges to replace tires whose lifespans are in the

Lifespans (measured in kilometres travelled) of Brand X tires have a

N(60,000; 7750) distribution. The manufacturer pledges to replace tires whose lifespans are in the bottom 1%.

What is the cutoff between the bottom 1% of lifespans of these tires and the rest? Please show some work or a diagram to show your thinking.

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