What is the definition of a normal distribution?

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A normal distribution is a probability distribution that has a bell-shaped probability density function, with the statistical properties such as mean, variance and standard deviation. It is characterized by a symmetric and unimodal shape, where a majority of the observations fall near the middle of the distribution, with fewer observations falling farther away from the center. The distribution is commonly used in statistical analysis to model the continuous random variables that follow the normal distribution.