OBSOLETE MATHEMATICA SYMBOL

# ExpectedValue

As of Version 8.0, has been superseded by Expectation and NExpectation.

gives the expected value of the pure function f with respect to the values in list.

gives the expected value of the function f of x with respect to the values of list.

gives the expected value of the pure function f with respect to the symbolic distribution dist.

gives the expected value of the function f of x with respect to the symbolic distribution dist.

## Details and OptionsDetails and Options

• For the list , the expected value of f is given by .
• For a continuous distribution dist, the expected value of f is given by where is the probability density function of dist and the integral is taken over the domain of dist.
• For a discrete distribution dist, the expected value of f is given by where is the probability mass function of dist and summation is over the domain of dist.
• The following option can be given:
•  Assumptions \$Assumptions assumptions to make about parameters

## ExamplesExamplesopen allclose all

### Basic Examples (3)Basic Examples (3)

Find the expected value of in a Poisson distribution:

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Use a pure function:

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Expected value for a list:

 Out[1]=