We appreciate your visit to Suppose the amount of a popular sport drink in bottles leaving the filling machine has a normal distribution with a mean of 100 5 milliliters. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Apply z-score
Given data
[tex]\begin{gathered} \operatorname{mean}\text{ }\mu\text{ = 100.5} \\ \text{Standard deviation }\sigma\text{ = 1.5} \\ x\text{ = 102.1} \end{gathered}[/tex]Here, we use the normal distribution formula below to calculate the answer.
[tex]\begin{gathered} z\text{ = }\frac{x\text{ - }\mu}{\sigma} \\ \text{Next, substitute the values of }\sigma,\text{ }\mu\text{ and x.} \end{gathered}[/tex][tex]\begin{gathered} z\text{ = }\frac{102.1\text{ - 100.5}}{1.5} \\ z\text{ = }\frac{1.6}{1.5} \\ z\text{ = 1.067} \end{gathered}[/tex]Next, use the normal distribution table to find probability.
From the normal distribution table,
The probability that the mean content is less than 102.1 mL = 0.3554
Final answer = 0.3554
Thanks for taking the time to read Suppose the amount of a popular sport drink in bottles leaving the filling machine has a normal distribution with a mean of 100 5 milliliters. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
