E[X] Discreta

Σ x·P(x).
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

E[X]
2,1000

About this calculator

The discrete variable expectation calculator is a useful tool for evaluating the expected value of a discrete probability distribution. It calculates the expectation using the formula E[X] = Σ x·P(x), where x represents the possible values of the variable and P(x) is the probability associated with those values.

This calculator is particularly useful in probability and statistics studies, where evaluating the expectation of a discrete variable is crucial for making informed decisions. It can be used to calculate the expectation of a discrete probability distribution in a variety of situations, from games of chance to risk problems in finance.

Additionally, the discrete variable expectation calculator is an essential tool for identifying potential errors and common problems related to calculating the expectation. It helps avoid errors such as failing to consider the probability distribution or using incorrect values for the distribution parameters.

To get the best results, it's essential to remember that the discrete variable expectation calculator is a tool that requires basic knowledge of statistics and probability. Moreover, providing accurate information about the probability distribution is necessary to ensure reliable results.

Frequently asked questions

What is the expectation of a discrete variable?

The expectation of a discrete variable is the weighted average of the possible values of the variable, considering the respective probabilities associated with them.

When should I use the discrete variable expectation calculator?

Use the discrete variable expectation calculator when you need to calculate the expectation of a discrete probability distribution in situations such as games of chance, risk in finance, or probability and statistics problems.

What is the most common error when calculating the expectation of a discrete variable?

The most common error when calculating the expectation of a discrete variable is not considering the probability distribution or using incorrect values for the distribution parameters.

How can I ensure reliable results with the discrete variable expectation calculator?

To ensure reliable results, provide accurate information about the probability distribution and have basic knowledge of statistics and probability.

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