Answered: A particular brand of laptop was…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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$### Calculating the Coefficient of Variation (CV) for Laptop Battery Life #### Problem Statement A particular brand of laptop was sampled to determine the time it can be used before it requires recharging. The mean time was calculated to be 8.9 hours with a standard deviation of 2.14 hours. Calculate the coefficient of variation for this example. #### Solution: The coefficient of variation (CV) is a measure of relative variability. It is expressed as a percentage and is calculated using the formula: \[ CV = \left( \frac{\sigma}{\mu} \right) \times 100 \] where: - $\sigma$ is the standard deviation - $\mu$ is the mean Using the values provided: - Mean time ($\mu$) = 8.9 hours - Standard deviation ($\sigma$) = 2.14 hours Substituting these values into the formula: \[ CV = \left( \frac{2.14}{8.9} \right) \times 100 \] \[ CV \approx 24.04\% \] So, the coefficient of variation for this example is approximately **24.04%** (rounded to two decimal places). --- This information can be helpful for understanding the relative dispersion of the laptop battery life times compared to the mean duration.$

Transcribed Image Text:### Calculating the Coefficient of Variation (CV) for Laptop Battery Life #### Problem Statement A particular brand of laptop was sampled to determine the time it can be used before it requires recharging. The mean time was calculated to be 8.9 hours with a standard deviation of 2.14 hours. Calculate the coefficient of variation for this example. #### Solution: The coefficient of variation (CV) is a measure of relative variability. It is expressed as a percentage and is calculated using the formula: \[ CV = \left( \frac{\sigma}{\mu} \right) \times 100 \] where: - $\sigma$ is the standard deviation - $\mu$ is the mean Using the values provided: - Mean time ($\mu$) = 8.9 hours - Standard deviation ($\sigma$) = 2.14 hours Substituting these values into the formula: \[ CV = \left( \frac{2.14}{8.9} \right) \times 100 \] \[ CV \approx 24.04\% \] So, the coefficient of variation for this example is approximately **24.04%** (rounded to two decimal places). --- This information can be helpful for understanding the relative dispersion of the laptop battery life times compared to the mean duration.

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