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Challenge: Solving Task Using Binomial Distribution | Commonly Used Discrete Distributions
Probability Theory Basics
course content

Зміст курсу

Probability Theory Basics

Probability Theory Basics

1. Basic Concepts of Probability Theory
2. Probability of Complex Events
3. Commonly Used Discrete Distributions
4. Commonly Used Continuous Distributions
5. Covariance and Correlation

Challenge: Solving Task Using Binomial Distribution

Let's consider a task about shooting at a target.
The probability of hitting the target in a single shot is 0.6. We want to calculate the probability of hitting the target 4 times in 10 shots.

We can't solve this task using the classic definition of probability because elementary events of this stochastic experiment have different probabilities of occurring. In addition, we are conducting not one stochastic experiment but ten, and we need to consider the results of all individual experiments.
This stochastic experiment is a Bernoulli trial: we have only two possible outcomes ( shoot and fail to shoot the target).
Shots are independent, so we have a Bernoulli process and can calculate probability using Binomial distribution.

Завдання

You have to calculate the probability of hitting the target 4 times in 10 shots.

Use .pmf() method and specify n and p parameters to calculate the corresponding probability.

Завдання

You have to calculate the probability of hitting the target 4 times in 10 shots.

Use .pmf() method and specify n and p parameters to calculate the corresponding probability.

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

Все було зрозуміло?

Секція 3. Розділ 2
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Challenge: Solving Task Using Binomial Distribution

Let's consider a task about shooting at a target.
The probability of hitting the target in a single shot is 0.6. We want to calculate the probability of hitting the target 4 times in 10 shots.

We can't solve this task using the classic definition of probability because elementary events of this stochastic experiment have different probabilities of occurring. In addition, we are conducting not one stochastic experiment but ten, and we need to consider the results of all individual experiments.
This stochastic experiment is a Bernoulli trial: we have only two possible outcomes ( shoot and fail to shoot the target).
Shots are independent, so we have a Bernoulli process and can calculate probability using Binomial distribution.

Завдання

You have to calculate the probability of hitting the target 4 times in 10 shots.

Use .pmf() method and specify n and p parameters to calculate the corresponding probability.

Завдання

You have to calculate the probability of hitting the target 4 times in 10 shots.

Use .pmf() method and specify n and p parameters to calculate the corresponding probability.

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

Все було зрозуміло?

Секція 3. Розділ 2
toggle bottom row

Challenge: Solving Task Using Binomial Distribution

Let's consider a task about shooting at a target.
The probability of hitting the target in a single shot is 0.6. We want to calculate the probability of hitting the target 4 times in 10 shots.

We can't solve this task using the classic definition of probability because elementary events of this stochastic experiment have different probabilities of occurring. In addition, we are conducting not one stochastic experiment but ten, and we need to consider the results of all individual experiments.
This stochastic experiment is a Bernoulli trial: we have only two possible outcomes ( shoot and fail to shoot the target).
Shots are independent, so we have a Bernoulli process and can calculate probability using Binomial distribution.

Завдання

You have to calculate the probability of hitting the target 4 times in 10 shots.

Use .pmf() method and specify n and p parameters to calculate the corresponding probability.

Завдання

You have to calculate the probability of hitting the target 4 times in 10 shots.

Use .pmf() method and specify n and p parameters to calculate the corresponding probability.

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

Все було зрозуміло?

Let's consider a task about shooting at a target.
The probability of hitting the target in a single shot is 0.6. We want to calculate the probability of hitting the target 4 times in 10 shots.

We can't solve this task using the classic definition of probability because elementary events of this stochastic experiment have different probabilities of occurring. In addition, we are conducting not one stochastic experiment but ten, and we need to consider the results of all individual experiments.
This stochastic experiment is a Bernoulli trial: we have only two possible outcomes ( shoot and fail to shoot the target).
Shots are independent, so we have a Bernoulli process and can calculate probability using Binomial distribution.

Завдання

You have to calculate the probability of hitting the target 4 times in 10 shots.

Use .pmf() method and specify n and p parameters to calculate the corresponding probability.

Перейдіть на комп'ютер для реальної практикиПродовжуйте з того місця, де ви зупинились, використовуючи один з наведених нижче варіантів
Секція 3. Розділ 2
Перейдіть на комп'ютер для реальної практикиПродовжуйте з того місця, де ви зупинились, використовуючи один з наведених нижче варіантів
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