### Probability that the inspector will have to walk

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An inspector is looking for nonconforming welds in the gasoline pipeline between Phoenix and Tucson. The probability that any particular weld will be defective is 0.01. The inspector is determined to keep working until finding three defective welds. If the welds are located 100 ft apart, what is the probability that the inspector will have to walk 5000 ft? What is the probability that the inspector will have to walk more than 5000 ft.

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