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Probability Theory
course content

Conteúdo do Curso

Probability Theory

Probability Theory

1. Learn Basic Rules
Random VariableBernoulli Trial 1/2Bernoulli Trial 2/2Binomial Probability 1/2Binomial probability 2/2
2. Probabilities of Several Events
Add ProbabilitiesCalculate Connected ProbabilitiesChallengeMultiply probabilitiesDependent probabilitiesLaw of Total ProbabilityBayes Theorem Challenge
3. Conducting Fascinating Experiments
The First ExperimentThe Second ExperimentThe Third ExperimentCombine Your Knowledge
4. Discrete Distributions
Discrete Uniform DistributionCalculate Fascinating ProbabilityBernoulli DistributionBinomial DistributionChallengePoisson DistributionChallenge
5. Normal Distribution
Normal DistributionChallenge 1Сhallenge 2

bookThe First Experiment

To be a data analyst, it is crucial to understand that we are going to conduct a lot of experiments. Here, we are going to get acquainted with several gripping functions!

Real-life example:

Imagine that we are working for a real estate agency, and we need to know how many positive answers we will get from all interviewees.

In this course, we will learn such interesting functions programming-wise.

Look at the example and everything will be clear:

General formula:

In this experiment, we will work with the binom.pmf(k, n, p) function. This function helps calculate the probability of receiving exactly k successes among n trials with the probability of success for each experiment p.


              
1234

            
from scipy.stats import binom
# Calculate the probability
experiment = binom.pmf(k = 1000, n = 20000, p=0.20)
print(experiment)
copy

Explanation:

  1. As usual, we are importing objects from scipy.stats with this code from scipy.stats import binom.
  2. binom.pmf(k = 1000, n = 20000, p=0.20) the probability of getting 1000 successes amoung 20 000 trials with the probability of success 20%.

Interesting fact:

The result of our code is zero, but we worked with an enormous sample; in the task, we will receive a more understandable result.

Tarefa

Imagine that our task is to do some calculations for a charity organization just for practice.

Your task here is to calculate the probability that exactly 5 kittens will find a home; there are 12 kittens in the shelter. In this city, kittens are taken from a shelter with a probability of 75%. Import relevant library to do it.

  1. Import binom object from scipy.stats.
  2. Calculate the probability that exactly 5 kittens out of 12 will find a home with the probability of success 75%.

The output here is going to be less hopeful.

Switch to desktopMude para o desktop para praticar no mundo realContinue de onde você está usando uma das opções abaixo
Tudo estava claro?

Como podemos melhorá-lo?

Obrigado pelo seu feedback!

Seção 3. Capítulo 1
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bookThe First Experiment

To be a data analyst, it is crucial to understand that we are going to conduct a lot of experiments. Here, we are going to get acquainted with several gripping functions!

Real-life example:

Imagine that we are working for a real estate agency, and we need to know how many positive answers we will get from all interviewees.

In this course, we will learn such interesting functions programming-wise.

Look at the example and everything will be clear:

General formula:

In this experiment, we will work with the binom.pmf(k, n, p) function. This function helps calculate the probability of receiving exactly k successes among n trials with the probability of success for each experiment p.


              
1234

            
from scipy.stats import binom
# Calculate the probability
experiment = binom.pmf(k = 1000, n = 20000, p=0.20)
print(experiment)
copy

Explanation:

  1. As usual, we are importing objects from scipy.stats with this code from scipy.stats import binom.
  2. binom.pmf(k = 1000, n = 20000, p=0.20) the probability of getting 1000 successes amoung 20 000 trials with the probability of success 20%.

Interesting fact:

The result of our code is zero, but we worked with an enormous sample; in the task, we will receive a more understandable result.

Tarefa

Imagine that our task is to do some calculations for a charity organization just for practice.

Your task here is to calculate the probability that exactly 5 kittens will find a home; there are 12 kittens in the shelter. In this city, kittens are taken from a shelter with a probability of 75%. Import relevant library to do it.

  1. Import binom object from scipy.stats.
  2. Calculate the probability that exactly 5 kittens out of 12 will find a home with the probability of success 75%.

The output here is going to be less hopeful.

Switch to desktopMude para o desktop para praticar no mundo realContinue de onde você está usando uma das opções abaixo
Tudo estava claro?

Como podemos melhorá-lo?

Obrigado pelo seu feedback!

Seção 3. Capítulo 1
toggle bottom row

bookThe First Experiment

To be a data analyst, it is crucial to understand that we are going to conduct a lot of experiments. Here, we are going to get acquainted with several gripping functions!

Real-life example:

Imagine that we are working for a real estate agency, and we need to know how many positive answers we will get from all interviewees.

In this course, we will learn such interesting functions programming-wise.

Look at the example and everything will be clear:

General formula:

In this experiment, we will work with the binom.pmf(k, n, p) function. This function helps calculate the probability of receiving exactly k successes among n trials with the probability of success for each experiment p.


              
1234

            
from scipy.stats import binom
# Calculate the probability
experiment = binom.pmf(k = 1000, n = 20000, p=0.20)
print(experiment)
copy

Explanation:

  1. As usual, we are importing objects from scipy.stats with this code from scipy.stats import binom.
  2. binom.pmf(k = 1000, n = 20000, p=0.20) the probability of getting 1000 successes amoung 20 000 trials with the probability of success 20%.

Interesting fact:

The result of our code is zero, but we worked with an enormous sample; in the task, we will receive a more understandable result.

Tarefa

Imagine that our task is to do some calculations for a charity organization just for practice.

Your task here is to calculate the probability that exactly 5 kittens will find a home; there are 12 kittens in the shelter. In this city, kittens are taken from a shelter with a probability of 75%. Import relevant library to do it.

  1. Import binom object from scipy.stats.
  2. Calculate the probability that exactly 5 kittens out of 12 will find a home with the probability of success 75%.

The output here is going to be less hopeful.

Switch to desktopMude para o desktop para praticar no mundo realContinue de onde você está usando uma das opções abaixo
Tudo estava claro?

Como podemos melhorá-lo?

Obrigado pelo seu feedback!

To be a data analyst, it is crucial to understand that we are going to conduct a lot of experiments. Here, we are going to get acquainted with several gripping functions!

Real-life example:

Imagine that we are working for a real estate agency, and we need to know how many positive answers we will get from all interviewees.

In this course, we will learn such interesting functions programming-wise.

Look at the example and everything will be clear:

General formula:

In this experiment, we will work with the binom.pmf(k, n, p) function. This function helps calculate the probability of receiving exactly k successes among n trials with the probability of success for each experiment p.


              
1234

            
from scipy.stats import binom
# Calculate the probability
experiment = binom.pmf(k = 1000, n = 20000, p=0.20)
print(experiment)
copy

Explanation:

  1. As usual, we are importing objects from scipy.stats with this code from scipy.stats import binom.
  2. binom.pmf(k = 1000, n = 20000, p=0.20) the probability of getting 1000 successes amoung 20 000 trials with the probability of success 20%.

Interesting fact:

The result of our code is zero, but we worked with an enormous sample; in the task, we will receive a more understandable result.

Tarefa

Imagine that our task is to do some calculations for a charity organization just for practice.

Your task here is to calculate the probability that exactly 5 kittens will find a home; there are 12 kittens in the shelter. In this city, kittens are taken from a shelter with a probability of 75%. Import relevant library to do it.

  1. Import binom object from scipy.stats.
  2. Calculate the probability that exactly 5 kittens out of 12 will find a home with the probability of success 75%.

The output here is going to be less hopeful.

Switch to desktopMude para o desktop para praticar no mundo realContinue de onde você está usando uma das opções abaixo
Seção 3. Capítulo 1
Switch to desktopMude para o desktop para praticar no mundo realContinue de onde você está usando uma das opções abaixo
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