To find: To find the probability that a value selected at random is at most 110.
The probability of the value selected being in the interval is 84%
Given information:
Given, a
Calculation:
One standard deviation below and above the mean are:
Two standard deviation below and above the mean are:
Three standard deviation below and above the mean are:
In a normal distribution, the data is distributed equally i.e., 50% on either side of the mean.
The data within the first standard deviation contains 34% of data on each side.
The data between the first standard deviation and second standard deviation contains 13.5% of data on each side.
The data between the second standard deviation and third standard deviation contains 2.35% of data on each side.
Here, 110 is the first standard deviation on the right of mean. 100 is the mean and below it lies 50% of the data
Hence the percent of data less than 110 is given by:
Conclusion:
The probability of the value selected being in the interval is 84%
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education