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Suppose random variable X can take value x1 with probability p1, value x2 with probability p2, and so on, up to value xk with probability pk. Then the expectation of this random variable X is defined as

${\displaystyle{\displaystyle\operatorname{E}[X]=x_{1}p_{1}+x_{2}p_{2}+x_{2}p_{% 3}+x_{3}p_{4}+x_{3}p_{5}+x_{3}p_{6}\ldots+x_{k}p_{k}\;.}}$

Since all probabilities pi add up to one: p1 + p2 + ... + pk = 1, the expected value can be viewed as the weighted average, with pi’s being the weights:

${\displaystyle{\displaystyle\operatorname{E}[X]={\frac{x_{1}p_{1}+x_{2}p_{2}+% \ldots+x_{k}p_{k}}{p_{1}+p_{2}+\ldots+p_{k}}}\;.}}$

Parser functions

{{#ifeq: 1e3 | 1000 | equal | not equal}} equal

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References

Test Citation[1]

1. This is a citation

SyntaxHighlight_GeSHi

def quickSort(arr):
less = []
pivotList = []
more = []
if len(arr) <= 1:
return arr
else:
pass