Expected Value(Hypergeometric)

The Hyper-geometric Distribution Expected Value calculator computes the expected value based on the number of trials (n), the successful samples (N₁), and the total samples (N).

INSTRUCTIONS: Enter the following:

• (n) This is the number of trials.
• (N₁)  This is the number of successful samples.
• (N) This is the total number of samples.

Expected Value: The calculator returns the expected value E(X).

Related Calculators:

• Pascal Distribution Expected Value
• Geometric Expected Value
• Binomial Distribution Expected Value
• Bernoulli Distribution Expected Value
• Geometric Distribution Expected Value
• Discrete Uniform Expected Value
• Hyper-geometric Distribution Expected Value

The Math / Science

In probability theory, the expected value (often noted as E(x)) refers to the expected average value of a random variable one would expect to find if one could repeat the random variable process a large number of time. In other words, the expected value is a weighted average of all possible values in the experiment.

The formula for the expected value of a Hypergeometric experiment is:

         E(x) = n • (N₁/N)

Where:

• E(x) = Expected value of a Hypergeometric experiment
• n = Number of trials
• N₁ = Successful Samples
• N = Total Samples