1.5.12.5. Normal distribution: histogram and PDFΒΆ

Explore the normal distribution: a histogram built from samples and the PDF (probability density function).

plot normal distribution
import numpy as np
import scipy as sp
import matplotlib.pyplot as plt
dist = sp.stats.norm(loc=0, scale=1) # standard normal distribution
sample = dist.rvs(size=100000) # "random variate sample"
plt.hist(
sample,
bins=51, # group the observations into 50 bins
density=True, # normalize the frequencies
label="normalized histogram",
)
x = np.linspace(-5, 5) # possible values of the random variable
plt.plot(x, dist.pdf(x), label="PDF")
plt.legend()
plt.show()

Total running time of the script: (0 minutes 0.092 seconds)

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