Expected Value Calculator

This expected value calculator helps you to quickly and easily calculate the expected value (or mean) of a discrete random variable X. Enter all known values of X and P(X) into the form below and click the "Calculate" button to calculate the expected value of X. Click on the "Reset" to clear the results and enter new values.

This calculator uses the following basic formula:

E(X) = μ_X = x₁P(x₁) + x₂P(x₂) + ... + x_nP(x_n)

E(X) = μ_X =

∑

x_i * P(x_i)

i = 1

Where:

E(X) is the expected value of the random variable X ,

μ_X is the mean of X ,

∑ is the summation symbol ,

P(x_i) is the probability of outcome x_i ,

x_i is the i^th outcome of the random variable X ,

n is the number of possible outcomes ,

i is a possible outcome of the random variable X.

You may also be interested in our Point Estimate Calculator

Expected Value Calculator – Results

Expected Value Table
x	P(x)	x * P(x)
∑x_i =	∑ P(x_i) =	∑ x_i*P(x_i) =

The expected value E(X), or mean μ_X of a discrete random variable X

E(X) = μ_X = ∑ [ x_i * P(x_i) ]

E(X) = [NCNT]

E(X) = [DCDT] [RESLT]

E(X) = [RESLT]

This calculator uses the following basic formula:

E(X) = μ_X = x₁P(x₁) + x₂P(x₂) + ... + x_nP(x_n)

E(X) = μ_X =

∑

x_i * P(x_i)

i = 1

Where:

E(X) is the expected value of the random variable X ,

μ_X is the mean of X ,

∑ is the summation symbol ,

P(x_i) is the probability of outcome x_i ,

x_i is the i^th outcome of the random variable X ,

n is the number of possible outcomes ,

i is a possible outcome of the random variable X.

You may also be interested in our Point Estimate Calculator

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This calculator uses the following basic formula:

This calculator uses the following basic formula:

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