Normal distributions

Foundations of Probability in Python

Alexander A. Ramírez M.

CEO @ Synergy Vision

Modeling for measures

Possible Normal measures

Normal probability density function for male and female heights

Normal standard probability density function

$$ $$ Normal standard probability density function of -1

$$ $$ Normal standard probability density function of 0

$$ $$ Normal standard probability density

$$ $$ Normal standard probability as area

Normal density function symmetric shape

Mean from a Normal density function

Normal density function with mean 1

Normal density function with mean -2

Normal density function with standard deviation 0.64

Normal density function with standard deviation 1

Normal density function with standard deviation 2

Plot of probability of being 1 standard deviation from the mean

Plot of probability of being 2 standard deviation from the mean

Plot of probability of being 3 standard deviation from the mean

# Import norm, matplotlib.pyplot, and seaborn
from scipy.stats import norm
import matplotlib.pyplot as plt
import seaborn as sns

# Create the sample using norm.rvs()
sample = norm.rvs(loc=0, scale=1, size=10000, random_state=13)

# Plot the sample
sns.distplot(sample)
plt.show()

Plot of probability density of a sample

Foundations of Probability in Python