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

Course Content

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

bookChallenge: 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.

Task
test

Swipe to show code editor

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.

Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
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Section 3. Chapter 2
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bookChallenge: 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.

Task
test

Swipe to show code editor

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.

Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
Everything was clear?

How can we improve it?

Thanks for your feedback!

Section 3. Chapter 2
toggle bottom row

bookChallenge: 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.

Task
test

Swipe to show code editor

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.

Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
Everything was clear?

How can we improve it?

Thanks for your feedback!

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.

Task
test

Swipe to show code editor

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.

Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
Section 3. Chapter 2
Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
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