Problem

What is the total area under the normal curve? Choose the correct answer below. A. 1 B. 0.5 C. It depends on the mean. D. It depends on the standard deviation.

Solution

Step 1 :The total area under the normal curve, also known as a Gaussian distribution, is a well-known concept in statistics. It does not depend on the mean or the standard deviation. The total area under the curve of a probability density function represents the total probability of all outcomes, which is always 1.

Step 2 :Given that the mean is 0 and the standard deviation is 1, the total area under the curve is 1.0.

Step 3 :Final Answer: The total area under the normal curve is \(\boxed{1}\).

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Source: https://solvelyapp.com/problems/17915/

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