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To plot a normal distribution in Python, you can use the following syntax:

#x-axis ranges from -3 and 3 with .001 steps x = np.arange(-3, 3, 0.001) #plot normal distribution with mean 0 and standard deviation 1 plt.plot(x, norm.pdf(x, 0, 1))

The **x** array defines the range for the x-axis and the **plt.plot()** produces the curve for the normal distribution with the specified mean and standard deviation.

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

**Example 1: Plot a Single Normal Distribution**

The following code shows how to plot a single normal distribution curve with a mean of 0 and a standard deviation of 1:

import numpy as np import matplotlib.pyplot as plt from scipy.stats import norm #x-axis ranges from -3 and 3 with .001 steps x = np.arange(-3, 3, 0.001) #plot normal distribution with mean 0 and standard deviation 1 plt.plot(x, norm.pdf(x, 0, 1))

You can also modify the color and the width of the line in the graph:

plt.plot(x, norm.pdf(x, 0, 1), color='red', linewidth=3)

**Example 2: Plot Multiple Normal Distributions**

The following code shows how to plot multiple normal distribution curves with different means and standard deviations:

import numpy as np import matplotlib.pyplot as plt from scipy.stats import norm #x-axis ranges from -5 and 5 with .001 steps x = np.arange(-5, 5, 0.001) #define multiple normal distributions plt.plot(x, norm.pdf(x, 0, 1), label='Î¼: 0, Ïƒ: 1') plt.plot(x, norm.pdf(x, 0, 1.5), label='Î¼:0, Ïƒ: 1.5') plt.plot(x, norm.pdf(x, 0, 2), label='Î¼:0, Ïƒ: 2') #add legend to plot 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 norm #x-axis ranges from -5 and 5 with .001 steps x = np.arange(-5, 5, 0.001) #define multiple normal distributions plt.plot(x, norm.pdf(x, 0, 1), label='Î¼: 0, Ïƒ: 1', color='gold') plt.plot(x, norm.pdf(x, 0, 1.5), label='Î¼:0, Ïƒ: 1.5', color='red') plt.plot(x, norm.pdf(x, 0, 2), label='Î¼:0, Ïƒ: 2', color='pink') #add legend to plot plt.legend(title='Parameters') #add axes labels and a title plt.ylabel('Density') plt.xlabel('x') plt.title('Normal Distributions', fontsize=14)

Refer to the matplotlib documentation for an in-depth explanation of the **plt.plot()** function.