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A normally distributed data set has a mean of 100 and a standar deviation of 5. What percent of data values are bigger than 105 ? 16 % 95% 60 % 32 %

A normally distributed data set has a mean of 100 and a standar deviation of 5. What percent of data values are bigger than 105 ? 16 % 95% 60 % 32 %

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The image presents a statistical question related to a normally distributed data set. The details are as follows: --- **Problem Statement:** A normally distributed data set has a mean of 100 and a standard deviation of 5. **Question:** What percent of data values are bigger than 105? **Answer Choices:** - 16% - 95% - 60% - 32% --- To solve this, you need to understand the properties of a normal distribution and calculate the area under the curve for values greater than 105, using the given mean and standard deviation. This can typically be found using standard normal distribution tables or statistical software.
Transcribed Image Text:The image presents a statistical question related to a normally distributed data set. The details are as follows: --- **Problem Statement:** A normally distributed data set has a mean of 100 and a standard deviation of 5. **Question:** What percent of data values are bigger than 105? **Answer Choices:** - 16% - 95% - 60% - 32% --- To solve this, you need to understand the properties of a normal distribution and calculate the area under the curve for values greater than 105, using the given mean and standard deviation. This can typically be found using standard normal distribution tables or statistical software.
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Step 1

given data 

normal distributionμ =100σ = 5P(x>105) = ?

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