# How to Plot a Chi-Square Distribution in Python

To plot a Chi-Square distribution in Python, you can use the following syntax:

```#x-axis ranges from 0 to 20 with .001 steps
x = np.arange(0, 20, 0.001)

#plot Chi-square distribution with 4 degrees of freedom
plt.plot(x, chi2.pdf(x, df=4))
```

The x array defines the range for the x-axis and the plt.plot() produces the curve for the Chi-square distribution with the specified degrees of freedom.

The following examples show how to use these functions in practice.

### Example 1: Plot a Single Chi-Square Distribution

The following code shows how to plot a single Chi-square distribution curve with 4 degrees of freedom

```import numpy as np
import matplotlib.pyplot as plt
from scipy.stats import chi2

#x-axis ranges from 0 to 20 with .001 steps
x = np.arange(0, 20, 0.001)

#plot Chi-square distribution with 4 degrees of freedom
plt.plot(x, chi2.pdf(x, df=4))``` You can also modify the color and the width of the line in the graph:

`plt.plot(x, chi2.pdf(x, df=4), color='red', linewidth=3)` ### Example 2: Plot Multiple Chi-Square Distributions

The following code shows how to plot multiple Chi-square distribution curves with different degrees of freedom:

```import numpy as np
import matplotlib.pyplot as plt
from scipy.stats import chi2

#x-axis ranges from 0 to 20 with .001 steps
x = np.arange(0, 20, 0.001)

#define multiple Chi-square distributions
plt.plot(x, chi2.pdf(x, df=4), label='df: 4')
plt.plot(x, chi2.pdf(x, df=8), label='df: 8')
plt.plot(x, chi2.pdf(x, df=12), label='df: 12')

plt.legend()``` Feel free to modify the colors of the lines and add a title and axes labels to make the chart complete:

```import numpy as np
import matplotlib.pyplot as plt
from scipy.stats import chi2

#x-axis ranges from 0 to 20 with .001 steps
x = np.arange(0, 20, 0.001)

#define multiple Chi-square distributions
plt.plot(x, chi2.pdf(x, df=4), label='df: 4', color='gold')
plt.plot(x, chi2.pdf(x, df=8), label='df: 8', color='red')
plt.plot(x, chi2.pdf(x, df=12), label='df: 12', color='pink') 