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Mean life-span of the tread

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Reference no: EM131098117

The tread-life of snow tires can be described by a normal model with a mean of 36,000 miles and a standard deviation of 2500 miles.

1. Could we expect our tire to last 42,000 miles?  Explain using statistical reasoning and show all calculations, should include z-score and the probability.

2. Approximately ___________________ of tires will last between 30,000 miles and 40,000 miles.  (to the nearest tenth of a percent)

3. The snow tire company wants to advertise 10% of their snow tires last longer than 45,000 miles.  If the standard deviation remains at 2500 miles, what must the mean life-span of the tread be improved to?  Show work.

Reference no: EM131098117

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