【Statistical Model】Application of In-depth Analysis of Probability Distribution

Table of contents

1. Normal distribution

 2. Poisson distribution

 3. Exponential distribution

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1. Normal distribution

The normal distribution, also known as the Gaussian distribution or the bell curve, is one of the most common probability distributions in statistics. It is widely used in practice because many natural phenomena and datasets follow this distribution.

Characteristics of the normal distribution include:

1. Symmetry: The normal distribution is symmetric about the mean, with the curves on the left and right sides being exactly the same.

2. Peak: The peak of the distribution is at the mean, and the overall curve has a typical bell shape.

3. The standard deviation determines the shape: the standard deviation σ determines the width of the normal distribution curve, the larger