In older cities across Alabama, infrastructure is deteriorating, including water lines that supply homes and businesses. A report by the Birmingham city council stated there are, on average, 30 line breaks per 100 miles per year in the city. Outside of Birmingham, the average number of breaks is 15 per 100 miles per year. Find the probability that in a stretch of 100 miles, there are 12 or fewer water line breaks in outside of Birmingham.
Probability that in a stretch of 100miles, there are 12 or fewer water line breaks in outside of Birmingham is 0.26761
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