# math

posted by .

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 5 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

(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.)

## Similar Questions

1. ### math

speakeasy company offers customers a choice between 3 schemes:1st,a monthly charge of \$15 + 5cents/ min.2nd,a monthly charge of \$5 for the line rental +20 cents/min,3rd a(pay as you go) charge of 35cents/min with no monthly line rental …
2. ### statistics

A telephone company's goal is to have no more than five monthly line failures on any 150 miles of line. The company currently experiences an average of 3 monthly line failures per 75 miles of line. Let x denote the number of monthly …
3. ### statistics

A telephone company's goal is to have no more than four monthly line failures on any 50 miles of line. The company currently experiences an average of 4 monthly line failures per 25 miles of line. Let x denote the number of monthly …
4. ### math

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 5 monthly line failures per 50 miles of line. Let x denote the number of monthly line …
5. ### Statistics

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 5 monthly line failures per 50 miles of line. Let x denote the number of monthly line …
6. ### Stats

A telephone company’s goal is to have no more than five monthly line failures on any 100 kilometres of line. The company currently experiences an average of two monthly line failures per 50 kilometres of line. Let x denote the number …
7. ### Algebra

1. What is the slope of the line that passes through the points (-2, 5) and (1, 4)?
8. ### Algebra!!

1. What is the slope of the line that passes through the points (-2, 5) and (1, 4)?
9. ### Algebra

1. What is the slope of the line that passes through the points (-2, 5) and (1, 4)?