Math Problem Statement
Solution
The problem asks for the area to the right of under the standard normal curve. To find this value, follow these steps:
Step 1: Use the Z-table
The Z-table provides the cumulative probability (area) to the left of a given -score.
For , the cumulative area to the left is approximately 0.9633 based on the Z-table.
Step 2: Find the area to the right
The total area under the standard normal curve is 1. Therefore, the area to the right of is:
Final Answer:
The area to the right of is 0.0367 (rounded to four decimal places).
Would you like a detailed explanation on Z-tables or further assistance?
Related Questions:
- What is the area to the left of ?
- How do you calculate areas for two-tailed probabilities in the normal distribution?
- What is the probability for ?
- How does the shape of the standard normal curve help in probability estimations?
- What is the significance of a -score in hypothesis testing?
Tip: Always check if you're looking for the left-tail, right-tail, or both when using Z-tables!
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Math Problem Analysis
Mathematical Concepts
Probability
Standard Normal Distribution
Z-Score
Formulas
Area to the right = 1 - Area to the left
Z-Score Table Lookup
Theorems
Standard Normal Distribution
Z-Score Theorem
Suitable Grade Level
Grades 10-12, College
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