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# A telephone company's goal is to have no more than four monthly line failures on any 250 miles of line. The company currently experiences an average...

A telephone company's goal is to have no more than four monthly line failures on any 250 miles of line. The company currently experiences an average of 3 monthly line failures per 125 miles of line. Let x denote the number of monthly line failures per 250 miles of line. Assuming x has a Poisson distribution: