Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Discover detailed solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
Solution:
Given:
[tex]\begin{gathered} \mu=42.5months \\ \sigma=6.5 \\ x=36\text{months} \end{gathered}[/tex]Using the Z-score formula,
[tex]\begin{gathered} Z=\frac{x-\mu}{\sigma} \\ Z=\frac{36-42.5}{6.5} \\ Z=\frac{-6.5}{6.5} \\ Z=-1 \end{gathered}[/tex]To calculate the percentage of batteries that will not meet the warranty, we first find the probability.
From the Z-scores calculator, the probability of batteries that will not meet the warranty and will have to be replaced for free is;
[tex]P(xThe percentage of batteries that will not meet the warranty and will have to be replaced for free is;
[tex]0.15866\times100=15.866\text{ \%}[/tex]Therefore, the percentage of batteries that will not meet the warranty and will have to be replaced for free is 15.87%
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.
