A telephone company's goal is to have no more than 4 monthly line failures on any 100 miles of line. The company currently experiences an average of 4 monthly line failures per 50 miles of line. Let x denote the number of monthly line failures per 100 miles of line. Assuming x has a Poisson distribution: (a) Find the probability that the company will meet its goal on a particular 100 miles of line. (Do not round intermediate calculations. Round final answer to 4 decimal places.) Probability (b) Find the probability that the company will not meet its goal on a particular 100 miles of line. (Do not round intermediate calculations. Round final answer to 4 decimal places.) Probability

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(c) Find the probability that the company will have no more than 4 monthly failures on a particular 200 miles of line. (Do not round
intermediate calculations. Round final answer to 4 decimal places.)
Probability
(d) Find the probability that the company will have more than 12 monthly failures on a particular 150 miles of line. (Do not round
intermediate calculations. Round final answer to 4 decimal places.)
Probability
Transcribed Image Text:(c) Find the probability that the company will have no more than 4 monthly failures on a particular 200 miles of line. (Do not round intermediate calculations. Round final answer to 4 decimal places.) Probability (d) Find the probability that the company will have more than 12 monthly failures on a particular 150 miles of line. (Do not round intermediate calculations. Round final answer to 4 decimal places.) Probability
A telephone company's goal is to have no more than 4 monthly line failures on any 100 miles of line. The company currently
experiences an average of 4 monthly line failures per 50 miles of line. Let x denote the number of monthly line failures per 100 miles of
line. Assuming x has a Poisson distribution:
(a) Find the probability that the company will meet its goal on a particular 100 miles of line. (Do not round intermediate calculations.
Round final answer to 4 decimal places.)
Probability
(b) Find the probability that the company will not meet its goal on a particular 100 miles of line. (Do not round intermediate
calculations. Round final answer to 4 decimal places.)
Probability
Transcribed Image Text:A telephone company's goal is to have no more than 4 monthly line failures on any 100 miles of line. The company currently experiences an average of 4 monthly line failures per 50 miles of line. Let x denote the number of monthly line failures per 100 miles of line. Assuming x has a Poisson distribution: (a) Find the probability that the company will meet its goal on a particular 100 miles of line. (Do not round intermediate calculations. Round final answer to 4 decimal places.) Probability (b) Find the probability that the company will not meet its goal on a particular 100 miles of line. (Do not round intermediate calculations. Round final answer to 4 decimal places.) Probability
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