Customers experiencing technical difficulty with their Internet cable service may call an 800 number for technical support. It takes the technician between 90 seconds and 11 minutes to resolve the problem. The distribution of this support time follows the uniform distribution. a. What are the values for a and b in minutes? (Do not round your intermediate calculations. Round your answers to 1 decimal place.) b-1. What is the mean time to resolve the problem? (Do not round your intermediate calculations. Round your answer to 2 decimal places.) b-2. What is the standard deviation of the time? (Do not round your intermediate calculations. Round your answer to 2 decimal places.) c. What percent of the problems take more than 5 minutes to resolve? (Do not round your intermediate calculations. Round your answer to 2 decimal places.) d. Suppose we wish to find the middle 50% of the problem-solving times. What are the end points of these two times? (Do not round your intermediate calculations. Round your answers to 3 decimal places.)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Customers experiencing technical difficulty with their Internet cable service may call an 800 number for technical support. It takes the technician between 90 seconds and 11 minutes to resolve the problem. The distribution of this support time follows the uniform distribution.
a. What are the values for a and b in minutes? (Do not round your intermediate calculations. Round your answers to 1 decimal place.)
b-2. What is the standard deviation of the time? (Do not round your intermediate calculations. Round your answer to 2 decimal places.)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
