Answer :
Final answer:
To find the percentage of students with a GPA between 2.3 and 3, calculate the Z-scores and use the standard normal distribution.
Explanation:
To find the percentage of students at the college with a GPA between 2.3 and 3, we can use the Z-score formula and the properties of the standard normal distribution.
- First, we calculate the Z-scores for the GPA values 2.3 and 3 using the formula: Z = (X - μ) / σ, where X is the GPA value, μ is the mean, and σ is the standard deviation.
- Next, we use a Z-table or a calculator to find the area under the standard normal distribution curve between these two Z-scores. This represents the percentage of students with a GPA between 2.3 and 3.
- Finally, we subtract this percentage from 1 to find the percentage of students who do not have a GPA between 2.3 and 3.
Using these steps, we find that the percentage of students at the college with a GPA between 2.3 and 3 is approximately 88.5%, so the correct answer is C.
Learn more about GPA distribution here:
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