Technical Support for Internet Cable Hookup: Uniform Distribution and Normal Probability Distributio

Uniform Distribution

1. Customers experiencing technical difficulty with their Internet cable hookup may call an 800 numberfor technical support. It takes the technician between 30 seconds and 10 minutes to resolve the problem. The distribution of this support times follows a uniform distribution.

a. What are the values for a and b in minutes

b. What is the mean time to resolve the problem? What is the standard deviation of the time?

c. What fraction of the problems takes more than 5 minutes to resolve?

d. Suppose we wish to find the middle 50% of the problem solving times. What are the endpoints of these two times?

2. The mean of a normal probability distribution is 350; the standard deviation is 75.

a. μ ± 1σ of the observations lie between what two values?

b. μ ± 2σ of the observations lie between what two values?

c. μ ± 3σ of the observations lie between what two values? <