Expected Value(Pascal)

The Expected Value calculator computes the expected value based on the success rate (p) and the desired number of successes (r).

INSTRUCTIONS: Enter the following:

• (p) This is the success rate
• (r)  This is the number of successes.

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.

The Pascal distribution, named after French mathematician Blaise Pascal,  is a special case of negative binomial distribution. A Pascal experiment calculates the number of Bernoulli trials needed to get `r` amount of successes.

Variables:

• p = success rate
• r = desired amount of successes

Equation:

E(x) = r/p