Math Problem Statement
Solution
To find the percent of the total area under the standard normal curve between the z-scores of and , we can use the values from the standard normal table you provided.
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Locate :
- From the table, the area to the left of is approximately 0.773.
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Locate :
- From the table, the area to the left of is approximately 0.945.
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Calculate the area between and :
- Subtract the area at from the area at :
So, the percent of the area under the curve between and is 17.2%.
Would you like further details or have any questions?
Related Questions
- What is the area under the curve between and ?
- How do you find the area to the right of a specific z-score?
- What does it mean if a z-score has an area of 0.5?
- Can we find the area under the curve between negative and positive z-scores, such as between and ?
- How does the standard normal table relate to percentiles in statistics?
Tip: Always check if you are finding the area between two z-scores by subtracting the smaller area from the larger.
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Math Problem Analysis
Mathematical Concepts
Statistics
Probability
Standard Normal Distribution
Formulas
Area under the curve between two z-scores = Area(z2) - Area(z1)
Theorems
Properties of the Standard Normal Distribution
Suitable Grade Level
Grades 10-12
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