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Probability Theory Basics
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Probability Theory Basics

Probability Theory Basics

1. Basic Concepts of Probability Theory
Stochastic Experiment and Random EventProbability and It's PropertiesGeometrical ProbabilityChallenge: Solving the Task Using Geometric ProbabilityIndependence and Incompatibility of Random EventsConditional Probability
2. Probability of Complex Events
Inclusion-Exclusion PrincipleChallenge: Solving the Task Using Inclusion-Exclusion PrincipleThe Multiplication Rule of ProbabilityLaw of Total ProbabilityBayes' TheoremChallenge: Solving the Task Using Bayes' Theorem
3. Commonly Used Discrete Distributions
Binomial DistributionChallenge: Solving Task Using Binomial DistributionMultinomial DistributionGeometric DistributionPoisson DistributionChallenge: Solving Task Using Poisson Distribution
4. Commonly Used Continuous Distributions
Continuous Uniform DistributionExponential DistributionChallenge: Solving Task Using Exponential DistributionGaussian DistributionChallenge: Solving Task Using Gaussian Distribution
5. Covariance and Correlation
What is Covariance?What is Correlation?Challenge: Solving the Task Using Correlation

bookChallenge: Solving the Task Using Bayes' Theorem

Tarefa

Imagine that we decided to conduct medical research.
You gathered data about two groups: 750 people with heart problems and 800 with chronic stomachache.
You know that 7% of interviewed from the first group have diabetes; meanwhile, 12% of respondents from the second group have diabetes too.
Calculate the probability that a randomly selected person with diabetes has a chronic stomachache.

We can use Bayes' theorem to calculate the corresponding probability.

  1. Calculate the probability that a randomly selected person has a heart problem.
  2. Calculate the probability that the randomly selected person has a stomachache.
  3. Calculate the probability that you randomly select a person that has diabetes.

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 2. Capítulo 6
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bookChallenge: Solving the Task Using Bayes' Theorem

Tarefa

Imagine that we decided to conduct medical research.
You gathered data about two groups: 750 people with heart problems and 800 with chronic stomachache.
You know that 7% of interviewed from the first group have diabetes; meanwhile, 12% of respondents from the second group have diabetes too.
Calculate the probability that a randomly selected person with diabetes has a chronic stomachache.

We can use Bayes' theorem to calculate the corresponding probability.

  1. Calculate the probability that a randomly selected person has a heart problem.
  2. Calculate the probability that the randomly selected person has a stomachache.
  3. Calculate the probability that you randomly select a person that has diabetes.

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 2. Capítulo 6
toggle bottom row

bookChallenge: Solving the Task Using Bayes' Theorem

Tarefa

Imagine that we decided to conduct medical research.
You gathered data about two groups: 750 people with heart problems and 800 with chronic stomachache.
You know that 7% of interviewed from the first group have diabetes; meanwhile, 12% of respondents from the second group have diabetes too.
Calculate the probability that a randomly selected person with diabetes has a chronic stomachache.

We can use Bayes' theorem to calculate the corresponding probability.

  1. Calculate the probability that a randomly selected person has a heart problem.
  2. Calculate the probability that the randomly selected person has a stomachache.
  3. Calculate the probability that you randomly select a person that has diabetes.

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!

Tarefa

Imagine that we decided to conduct medical research.
You gathered data about two groups: 750 people with heart problems and 800 with chronic stomachache.
You know that 7% of interviewed from the first group have diabetes; meanwhile, 12% of respondents from the second group have diabetes too.
Calculate the probability that a randomly selected person with diabetes has a chronic stomachache.

We can use Bayes' theorem to calculate the corresponding probability.

  1. Calculate the probability that a randomly selected person has a heart problem.
  2. Calculate the probability that the randomly selected person has a stomachache.
  3. Calculate the probability that you randomly select a person that has diabetes.

Switch to desktopMude para o desktop para praticar no mundo realContinue de onde você está usando uma das opções abaixo
Seção 2. Capítulo 6
Switch to desktopMude para o desktop para praticar no mundo realContinue de onde você está usando uma das opções abaixo
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