Yes. When we refer to the normal distribution, we are referring to a probability distribution. When we specify the equation of a continuous distribution, such as the normal distribution, we refer to the equation as a probability density function.
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No. Normal distribution is a continuous probability.
Because very many variables tend to have the Gaussian distribution. Furthermore, even if the underlying distribution is non-Gaussian, the distribution of the means of repeated samples will be Gaussian. As a result, the Gaussian distributions are also referred to as Normal.
No, the normal distribution is strictly unimodal.
It is a continuous parametric distribution belonging to the family of exponential distributions. It is also symmetric.
with mean and standard deviation . Once standardized, , the test statistic follows Standard Normal Probability Distribution.