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The normal, or Gaussian, distribution has a density function that is a symmetrical bell-shaped curve. It is one of the most important distributions in statistics. Use the [normality-assumption] tag for asking about testing for normality.
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Generate distribution based on descriptive statistics
You could use a mixture of normals. Choose the smallest number of components which gets you close enough to the distribution you have in mind. "Close enough" is a matter for your judgement. Here's an …