I have published my article Normal Distribution (with python) in medium.

Link

https://medium.com/@balamurali_m/normal-distribution-with-python-793c7b425ef0

The python code can be viewed at:

Normal Distribution

https://gist.github.com/balamurali-m/692c973e4e4804754352e9f5679592e7

Standard Normal Distribution

https://gist.github.com/balamurali-m/562f3f187d5d7cc7692de71dfd7f1120

A **Normal Distribution** (Gaussian) is a continuous probability distribution. The normal distribution is sometimes referred to as a bell curve.

**Standard Normal Distribution** is a specific case of normal distribution where μ= 0 and *σ *= 1 (i.e mean is 0 and standard deviation is 1)

Some of the **properties of a standard normal distribution** are mentioned below:

- The normal curve is symmetric about the mean and bell shaped.
- Mean, mode and median is zero which is the centre of the curve.
- Approximately 68% of the data will be between -1 and +1 (i.e. within 1 standard deviation from the mean), 95% between -2 and +2 (within 2 SD from the mean) and 99.7% between -3 and 3 (within 3 SD from the mean)

For more details please refer to the above links.

You can also refer to my blog for the article details:

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