Probability Theory

Challenge

Compito

Swipe to start coding

Imagine you posted something to your favorite social network and decided to calculate the number of likes and decide to calculate the probability receive 990990 likes. Follow the algorithm:

Import poisson object.
Calculate the probability of receiving exactly 990990 likes with the mean value 1000000.

Look to the graph that corresponds to the distribution:

task

Soluzione

# Import 'poisson' object

from scipy.stats import poisson

# Calculate the probability

prob = poisson.pmf(k = 990990, mu = 1000000)

print("The probability is", prob)

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Sezione 4. Capitolo 7

# Import 'poisson' object

___

# Calculate the probability

prob = ___.___(k = ___, mu = ___)

print("The probability is", prob)

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Probability Theory

1. Learn Basic Rules

It's time to dive deeper into the probability theory. Here we will learn basic formulas. The main idea of the section is to help to understand the term probability using real-life examples.

Random Variable

Bernoulli Trial 1/2

Bernoulli Trial 2/2

Binomial Probability 1/2

Binomial probability 2/2

2. Probabilities of Several Events

Here, we will get acquainted with the rules in probability theory. This section will be more complicated than the previous one. It will be attractive because we are going to work with the real challenges. But it should be noted that we learn some formulas.

Add Probabilities

Calculate Connected Probabilities

Challenge

Multiply probabilities

Dependent probabilities

Law of Total Probability

Bayes Theorem

Challenge

3. Conducting Fascinating Experiments

Doing experiments is always funny, but here we will combine exciting tasks with programming learning. In this section, we will work with the binom object to conduct experiments in Python.

The First Experiment

The Second Experiment

The Third Experiment

Combine Your Knowledge

4. Discrete Distributions

Distribution is a key to probability learning, but don't be petrified by this term. This section provides you with real-life explanations and relevant formulas.

Discrete Uniform Distribution

Calculate Fascinating Probability

Bernoulli Distribution

Binomial Distribution

Challenge

Poisson Distribution

Challenge

5. Normal Distribution

The normal distribution is the most commonly used one. Here we will work with the distribution with the help of real-life challenges.

Normal Distribution

Challenge 1

Сhallenge 2