Problem

Fill in the blank to complete the statement.
The area under the normal curve to the right of $\mu$ equals
The area under the normal curve to the right of $\mu$ equals
\[
\frac{1}{\sigma \sqrt{2 \pi}}
\]
0.
1.
$\sigma$.
$\frac{1}{2}$

Answer

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Answer

Final Answer: The area under the normal curve to the right of $\mu$ equals $\boxed{\frac{1}{2}}$.

Steps

Step 1 :Fill in the blank to complete the statement. The area under the normal curve to the right of $\mu$ equals _______.

Step 2 :The area under the normal curve to the right of the mean ($\mu$) is equal to 0.5. This is because the total area under the curve is 1 (representing 100% of the data), and the curve is symmetric about the mean. Therefore, half the area (0.5) is to the right of the mean, and the other half is to the left.

Step 3 :Final Answer: The area under the normal curve to the right of $\mu$ equals $\boxed{\frac{1}{2}}$.

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