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Where does the curve of the normal distribution touch the x-axis?

Question

Where does the curve of the normal distribution touch the x-axis?

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Solution

The curve of the normal distribution, also known as the Gaussian distribution, never actually touches the x-axis. It approaches the x-axis but never crosses it. This is because the normal distribution is a probability distribution, and the total area under the curve represents the total probability of all possible outcomes, which is 1. Therefore, the curve extends indefinitely in both directions along the x-axis, approaching but never reaching it.

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