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Engineering Mathematics

Mathematical Expectation

If E denotes ...

Question

If E denotes expectation,the variance of a random variable X is given by

A

E (X^{2}) - E^{2} (X)

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B

E (X^{2}) + E^{2} (X)

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C

E (X^{2})

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D

E^{2} (X)

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Solution

The correct option is A $E (X^{2}) - E^{2} (X)$
Standard result:

$V a r (X) = E (X^{2}) - E^{2} (X)$

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