Problem

Find the expected value of a random variable $x$ having the following probability distribution.
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Answer

$E (x) = x_{1} P (x_{1}) + x_{2} P (x_{2}) + \dots + x_{n} P (x_{n})$

Steps

Step 1 ： $E (x) = \sum x P (x)$

Step 2 ： $E (x) = x_{1} P (x_{1}) + x_{2} P (x_{2}) + \dots + x_{n} P (x_{n})$

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