What must the total area under a normal distribution graph equal?

What must the total area under a normal distribution graph equal?

• A. 0
• B. 0.5
• C. 1
• D. 100%

Answer: (C)

The total area under a normal distribution graph equals 1, which corresponds to the cumulative probability of all possible outcomes in a probability distribution. In any probability distribution, including the normal distribution, the total area represents the entirety of the sample space. Since probabilities range from 0 to 1, the area under the curve must sum to 1 to reflect that there is a 100% chance that a value lies somewhere within the distribution. In this context, one could also express the total area as 100%, as it represents the whole of the potential outcomes. This concept is fundamental in probability and statistics, emphasizing that the area under the curve quantifies probabilities. Therefore, the correct answer signifies the complete or total probability of the distribution, confirming that all possible outcomes are accounted for in the area under the graph.

The total area under a normal distribution graph equals 1, which corresponds to the cumulative probability of all possible outcomes in a probability distribution. In any probability distribution, including the normal distribution, the total area represents the entirety of the sample space. Since probabilities range from 0 to 1, the area under the curve must sum to 1 to reflect that there is a 100% chance that a value lies somewhere within the distribution.

In this context, one could also express the total area as 100%, as it represents the whole of the potential outcomes. This concept is fundamental in probability and statistics, emphasizing that the area under the curve quantifies probabilities. Therefore, the correct answer signifies the complete or total probability of the distribution, confirming that all possible outcomes are accounted for in the area under the graph.