Expected Value(Bernoulli)

The Bernoulli Distribution Expected Value calculator computes the expected value based on the success rate (p).

INSTRUCTIONS: Enter the following:

• (p) This is the success rate

Expected Value: The calculator returns the expected value.

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. 

In probability theory, a Bernoulli trial is a random binary experiment with the two outcomes being either "success/failure" or "yes/no". For it to be a Bernoulli trial the success and failure rate must be the same for each repeated experiment. 

The calculation for this is very easy but understanding how a Bernoulli trial works is essential to understanding probability. 

Variables: 

• `p` = Success Rate

Equation:

`E(x) = p`