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A sample of university students has an average GPA of 2.78 with a standard deviation of 0.45. If GPA is normally distributed, what percentage of the students has GPAS: a. less than 2.30 668 resp of the beople convi b. more than 3.00 c. between 2.50 and 3.50

A sample of university students has an average GPA of 2.78 with a standard deviation of 0.45. If GPA is normally distributed, what percentage of the students has GPAS: a. less than 2.30 668 resp of the beople convi b. more than 3.00 c. between 2.50 and 3.50

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
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**Text Transcription for Educational Website:** A sample of university students has an average GPA of 2.78 with a standard deviation of 0.45. If GPA is normally distributed, what percentage of the students has GPAs: a. less than 2.30 b. more than 3.00 c. between 2.50 and 3.50 --- **Explanation of Content:** The text presents a statistical problem involving a normal distribution of university students' GPAs. The mean (average) GPA is given as 2.78, and the standard deviation is 0.45. The problems require calculating the percentages of students' GPAs that fall within specific ranges: - Below 2.30 - Above 3.00 - Between 2.50 and 3.50 To solve these, you would typically use the properties of the normal distribution, possibly employing a Z-score transformation and consulting a standard normal distribution table or software for precise probabilities. No graphs or diagrams are present.
Transcribed Image Text:**Text Transcription for Educational Website:** A sample of university students has an average GPA of 2.78 with a standard deviation of 0.45. If GPA is normally distributed, what percentage of the students has GPAs: a. less than 2.30 b. more than 3.00 c. between 2.50 and 3.50 --- **Explanation of Content:** The text presents a statistical problem involving a normal distribution of university students' GPAs. The mean (average) GPA is given as 2.78, and the standard deviation is 0.45. The problems require calculating the percentages of students' GPAs that fall within specific ranges: - Below 2.30 - Above 3.00 - Between 2.50 and 3.50 To solve these, you would typically use the properties of the normal distribution, possibly employing a Z-score transformation and consulting a standard normal distribution table or software for precise probabilities. No graphs or diagrams are present.
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