Final answer:
The total area under the curve of the normal probability distribution is always equal to 1.
Step-by-step explanation:
The total area under the curve of the normal probability distribution is always equal to 1. This means that the probability of any event occurring in a normal distribution is always equal to 1, or 100%.
The area under the normal curve represents the probability of an event occurring, and as the entire area under the curve is equal to 1, the total probability is also 1.
For example, if we want to find the probability of a random variable X being within a certain range, we can find the area under the normal curve between the corresponding values and that will give us the probability.