Course Content

Probability Theory

1. Learn Basic Rules

Random Variable Bernoulli Trial 1/2 Bernoulli Trial 2/2 Binomial Probability 1/2 Binomial probability 2/2

2. Probabilities of Several Events

Add Probabilities Calculate Connected Probabilities Challenge Multiply probabilities Dependent probabilities Law of Total Probability Bayes Theorem Challenge

3. Conducting Fascinating Experiments

The First Experiment The Second Experiment The Third Experiment Combine Your Knowledge

4. Discrete Distributions

Discrete Uniform Distribution Calculate Fascinating Probability Bernoulli Distribution Binomial Distribution Challenge Poisson Distribution Challenge

5. Normal Distribution

Normal Distribution Challenge 1 Сhallenge 2

Challenge

Task

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

Task

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

Everything was clear?

Section 4. Chapter 7

Challenge

Task

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

Task

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

Everything was clear?

Section 4. Chapter 7

Challenge

Task

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

Task

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

Everything was clear?

Task

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

Section 4. Chapter 7

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