Expectation of Sum of Random Variables Calculator

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✖Expectation of Random Variable X is the average value or mean of the random variable X.ⓘ Expectation of Random Variable X [E_(X)]			+10% -10%
✖Expectation of Random Variable Y is the average value or mean of the random variable Y.ⓘ Expectation of Random Variable Y [E_(Y)]			+10% -10%

✖Expectation of Sum of Random Variables is the average value or mean of the sum of two or more random variables.ⓘ Expectation of Sum of Random Variables [E_(X+Y)]

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Expectation of Sum of Random Variables Solution

STEP 0: Pre-Calculation Summary

Formula Used

Expectation of Sum of Random Variables = Expectation of Random Variable X+Expectation of Random Variable Y
E_(X+Y) = E_(X)+E_(Y)
This formula uses 3 Variables

Variables Used

Expectation of Sum of Random Variables - Expectation of Sum of Random Variables is the average value or mean of the sum of two or more random variables.
Expectation of Random Variable X - Expectation of Random Variable X is the average value or mean of the random variable X.
Expectation of Random Variable Y - Expectation of Random Variable Y is the average value or mean of the random variable Y.

STEP 1: Convert Input(s) to Base Unit

Expectation of Random Variable X: 36 --> No Conversion Required
Expectation of Random Variable Y: 34 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_(X+Y) = E_(X)+E_(Y) --> 36+34

Evaluating ... ...

E_(X+Y) = 70

STEP 3: Convert Result to Output's Unit

70 --> No Conversion Required

FINAL ANSWER

70 <-- Expectation of Sum of Random Variables

(Calculation completed in 00.020 seconds)

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Expectation of Sum of Random Variables Formula

LaTeX Go

Expectation of Sum of Random Variables = Expectation of Random Variable X+Expectation of Random Variable Y
E_(X+Y) = E_(X)+E_(Y)

What is Expectation of random variables in Statistics?

In probability theory, the expected value (also called expectation, expectancy, mathematical expectation, mean, average, or first moment) is a generalization of the weighted average. Informally, the expected value is the arithmetic mean of a large number of independently selected outcomes of a random variable.
The expected value of a random variable with a finite number of outcomes is a weighted average of all possible outcomes. In the case of a continuum of possible outcomes, the expectation is defined by integration. In the axiomatic foundation for probability provided by measure theory, the expectation is given by Lebesgue integration.

How to Calculate Expectation of Sum of Random Variables?

Expectation of Sum of Random Variables calculator uses Expectation of Sum of Random Variables = Expectation of Random Variable X+Expectation of Random Variable Y to calculate the Expectation of Sum of Random Variables, Expectation of Sum of Random Variables formula is defined as the average value or mean of the sum of two or more random variables. Expectation of Sum of Random Variables is denoted by E_(X+Y) symbol.

How to calculate Expectation of Sum of Random Variables using this online calculator? To use this online calculator for Expectation of Sum of Random Variables, enter Expectation of Random Variable X (E_(X)) & Expectation of Random Variable Y (E_(Y)) and hit the calculate button. Here is how the Expectation of Sum of Random Variables calculation can be explained with given input values -> 70 = 36+34.

FAQ

What is Expectation of Sum of Random Variables?

Expectation of Sum of Random Variables formula is defined as the average value or mean of the sum of two or more random variables and is represented as E_(X+Y) = E_(X)+E_(Y) or Expectation of Sum of Random Variables = Expectation of Random Variable X+Expectation of Random Variable Y. Expectation of Random Variable X is the average value or mean of the random variable X & Expectation of Random Variable Y is the average value or mean of the random variable Y.

How to calculate Expectation of Sum of Random Variables?

Expectation of Sum of Random Variables formula is defined as the average value or mean of the sum of two or more random variables is calculated using Expectation of Sum of Random Variables = Expectation of Random Variable X+Expectation of Random Variable Y. To calculate Expectation of Sum of Random Variables, you need Expectation of Random Variable X (E_(X)) & Expectation of Random Variable Y (E_(Y)). With our tool, you need to enter the respective value for Expectation of Random Variable X & Expectation of Random Variable Y and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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