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 Task Using Poisson Distribution

Завдання

In a city, car accidents occur on average 12 times from 8 am to 8 pm daily. What is the probability of observing exactly 4 car accidents from 8 am to 12 pm on a randomly chosen day?

You have to:

Calculate desired_mu, which will represent the average number of accidents during the desired period of time.
Calculate the corresponding probability using the Poisson distribution.

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 3. Розділ 6

Challenge: Solving Task Using Poisson Distribution

Завдання

In a city, car accidents occur on average 12 times from 8 am to 8 pm daily. What is the probability of observing exactly 4 car accidents from 8 am to 12 pm on a randomly chosen day?

You have to:

Calculate desired_mu, which will represent the average number of accidents during the desired period of time.
Calculate the corresponding probability using the Poisson distribution.

Все було зрозуміло?

Дякуємо за ваш відгук!

Секція 3. Розділ 6

Challenge: Solving Task Using Poisson Distribution

Завдання

In a city, car accidents occur on average 12 times from 8 am to 8 pm daily. What is the probability of observing exactly 4 car accidents from 8 am to 12 pm on a randomly chosen day?

You have to:

Calculate desired_mu, which will represent the average number of accidents during the desired period of time.
Calculate the corresponding probability using the Poisson distribution.

Все було зрозуміло?

Дякуємо за ваш відгук!

Завдання

In a city, car accidents occur on average 12 times from 8 am to 8 pm daily. What is the probability of observing exactly 4 car accidents from 8 am to 12 pm on a randomly chosen day?

You have to:

Calculate desired_mu, which will represent the average number of accidents during the desired period of time.
Calculate the corresponding probability using the Poisson distribution.

Секція 3. Розділ 6