Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Suppose that prices of a gallon of milk at various stores in one town have a mean of $3.72 with a standard deviation of $0.10. Using Chebyshev's Theorem, what is theminimum percentage of stores that sell a gallon of milk for between $3.42 and $4.02? Round your answer to one decimal place.

Sagot :

Solution

We know that the mean= 3.72$ and the sd= 0.10$

and using the Chebysev theorem we want to know whick percentage of stores will be between 3.42$ and $4.02

We can calculate the distance between the limits and the mean:

3.72 - 3.42= 0.3

k=0.3/0.1= 3

4.02-3.72= 0.3

k= 0.3/0.1 = 3

Then we are between 3 deviations from the mean

So then we can calculate the percentage required with this formula:

[tex]1-\frac{1}{k^2}=1-\frac{1}{3^2}=1-\frac{1}{9}=\frac{8}{9}\cdot100=88.9[/tex]

So then we expect at least 88.9%

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.