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Probability Theory
course content

Contenido del 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

bookBinomial Distribution

It is time to figure out what Binomial distribution is.

To work with this distribution, we should import the binom object from scipy.stats, and then you can apply numerous functions to this distribution like pmf, sf, and cdf that were already learned.

Key characteristics:

This distribution is the same as the Bernoulli distribution, which is repeated several times.

Example:

Tossing a coin is a Bernoulli distribution, but tossing one coin 3 times creates a binomial distribution.

binomial

By the way, Y-axis defines the probability in percents, for the better understanding(in this chapter and the next).

Do you remember the function .cdf()? The function shows the probability of having k or fewer successes among n trials with the defined probability p. It is time to recall it!

Tarea

Imagine you passing a test that includes 12 questions; there are just two answers for each question (one of them is correct, another isn't correct). The probability of getting the right answer is 50% or 0.5. Here is the distribution:

binom

You have excellent marks, and you know that if you receive less than 6 or exactly 7 points, you will spoil it.

  1. Import binom object.
  2. Calculate the probability of receiving 6 or less points in the test where the probability of answering right is 0.5 and the number of questions is 12.
  3. Calculate the probability of receiving exactly 7 points in the test where the probability of answering right is 0.5 and the number of questions is 12.
  4. Calculate the whole probability.

Switch to desktopCambia al escritorio para practicar en el mundo realContinúe desde donde se encuentra utilizando una de las siguientes opciones
¿Todo estuvo claro?

¿Cómo podemos mejorarlo?

¡Gracias por tus comentarios!

Sección 4. Capítulo 4
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bookBinomial Distribution

It is time to figure out what Binomial distribution is.

To work with this distribution, we should import the binom object from scipy.stats, and then you can apply numerous functions to this distribution like pmf, sf, and cdf that were already learned.

Key characteristics:

This distribution is the same as the Bernoulli distribution, which is repeated several times.

Example:

Tossing a coin is a Bernoulli distribution, but tossing one coin 3 times creates a binomial distribution.

binomial

By the way, Y-axis defines the probability in percents, for the better understanding(in this chapter and the next).

Do you remember the function .cdf()? The function shows the probability of having k or fewer successes among n trials with the defined probability p. It is time to recall it!

Tarea

Imagine you passing a test that includes 12 questions; there are just two answers for each question (one of them is correct, another isn't correct). The probability of getting the right answer is 50% or 0.5. Here is the distribution:

binom

You have excellent marks, and you know that if you receive less than 6 or exactly 7 points, you will spoil it.

  1. Import binom object.
  2. Calculate the probability of receiving 6 or less points in the test where the probability of answering right is 0.5 and the number of questions is 12.
  3. Calculate the probability of receiving exactly 7 points in the test where the probability of answering right is 0.5 and the number of questions is 12.
  4. Calculate the whole probability.

Switch to desktopCambia al escritorio para practicar en el mundo realContinúe desde donde se encuentra utilizando una de las siguientes opciones
¿Todo estuvo claro?

¿Cómo podemos mejorarlo?

¡Gracias por tus comentarios!

Sección 4. Capítulo 4
toggle bottom row

bookBinomial Distribution

It is time to figure out what Binomial distribution is.

To work with this distribution, we should import the binom object from scipy.stats, and then you can apply numerous functions to this distribution like pmf, sf, and cdf that were already learned.

Key characteristics:

This distribution is the same as the Bernoulli distribution, which is repeated several times.

Example:

Tossing a coin is a Bernoulli distribution, but tossing one coin 3 times creates a binomial distribution.

binomial

By the way, Y-axis defines the probability in percents, for the better understanding(in this chapter and the next).

Do you remember the function .cdf()? The function shows the probability of having k or fewer successes among n trials with the defined probability p. It is time to recall it!

Tarea

Imagine you passing a test that includes 12 questions; there are just two answers for each question (one of them is correct, another isn't correct). The probability of getting the right answer is 50% or 0.5. Here is the distribution:

binom

You have excellent marks, and you know that if you receive less than 6 or exactly 7 points, you will spoil it.

  1. Import binom object.
  2. Calculate the probability of receiving 6 or less points in the test where the probability of answering right is 0.5 and the number of questions is 12.
  3. Calculate the probability of receiving exactly 7 points in the test where the probability of answering right is 0.5 and the number of questions is 12.
  4. Calculate the whole probability.

Switch to desktopCambia al escritorio para practicar en el mundo realContinúe desde donde se encuentra utilizando una de las siguientes opciones
¿Todo estuvo claro?

¿Cómo podemos mejorarlo?

¡Gracias por tus comentarios!

It is time to figure out what Binomial distribution is.

To work with this distribution, we should import the binom object from scipy.stats, and then you can apply numerous functions to this distribution like pmf, sf, and cdf that were already learned.

Key characteristics:

This distribution is the same as the Bernoulli distribution, which is repeated several times.

Example:

Tossing a coin is a Bernoulli distribution, but tossing one coin 3 times creates a binomial distribution.

binomial

By the way, Y-axis defines the probability in percents, for the better understanding(in this chapter and the next).

Do you remember the function .cdf()? The function shows the probability of having k or fewer successes among n trials with the defined probability p. It is time to recall it!

Tarea

Imagine you passing a test that includes 12 questions; there are just two answers for each question (one of them is correct, another isn't correct). The probability of getting the right answer is 50% or 0.5. Here is the distribution:

binom

You have excellent marks, and you know that if you receive less than 6 or exactly 7 points, you will spoil it.

  1. Import binom object.
  2. Calculate the probability of receiving 6 or less points in the test where the probability of answering right is 0.5 and the number of questions is 12.
  3. Calculate the probability of receiving exactly 7 points in the test where the probability of answering right is 0.5 and the number of questions is 12.
  4. Calculate the whole probability.

Switch to desktopCambia al escritorio para practicar en el mundo realContinúe desde donde se encuentra utilizando una de las siguientes opciones
Sección 4. Capítulo 4
Switch to desktopCambia al escritorio para practicar en el mundo realContinúe desde donde se encuentra utilizando una de las siguientes opciones
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