Which one of the following is not the characteristics of normal distribution ?

A normal probability distribution is bell-shaped, symmetrical about its mean (where Mean = Median = Mode), has a total area under the curve equal to 1, and is asymptotic to the horizontal X-axis—meaning its two tails extend from -infinity to +infinity and never touch the horizontal axis. Thus, 'The two tails of the distribution in both the directions touches the horizontal axis' is not a characteristic of the normal distribution.