Зміст курсу

Probability Theory Basics

1. Basic Concepts of Probability Theory

Stochastic Experiment and Random Event Probability and It's Properties Geometrical Probability Challenge: Solving the Task Using Geometric Probability Independence and Incompatibility of Random Events Conditional Probability

2. Probability of Complex Events

Inclusion-Exclusion Principle Challenge: Solving the Task Using Inclusion-Exclusion Principle The Multiplication Rule of Probability Law of Total Probability Bayes' Theorem Challenge: Solving the Task Using Bayes' Theorem

3. Commonly Used Discrete Distributions

Binomial Distribution Challenge: Solving Task Using Binomial Distribution Multinomial Distribution Geometric Distribution Poisson Distribution Challenge: Solving Task Using Poisson Distribution

4. Commonly Used Continuous Distributions

Continuous Uniform Distribution Exponential Distribution Challenge: Solving Task Using Exponential Distribution Gaussian Distribution Challenge: Solving Task Using Gaussian Distribution

5. Covariance and Correlation

What is Covariance?What is Correlation?Challenge: Solving the Task Using Correlation

Challenge: Solving the Task Using Bayes' Theorem

Завдання

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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.

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

Перейдіть на комп'ютер для реальної практикиПродовжуйте з того місця, де ви зупинились, використовуючи один з наведених нижче варіантів

Все було зрозуміло?

Дякуємо за ваш відгук!

Секція 2. Розділ 6

Challenge: Solving the Task Using Bayes' Theorem

Завдання

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

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

Все було зрозуміло?

Дякуємо за ваш відгук!

Секція 2. Розділ 6

Challenge: Solving the Task Using Bayes' Theorem

Завдання

Swipe to show code editor

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

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

Все було зрозуміло?

Дякуємо за ваш відгук!

Завдання

Swipe to show code editor

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

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

Секція 2. Розділ 6