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In chance concept, the expected value of a random variable

X.

\ displaystyle X , often denoted.

E . (. X. ).

,.

E . [X. ]

, or.

E. X.

, is a generalization of the weighted average, and also is intuitively the math mean of a huge number of independent understandings of.

X.

. The expectation operator.

E.

\ displaystyle \ operatorname is additionally frequently stylized as.

E.

\ displaystyle E or.

E.

. The expected worth is additionally referred to as the assumption, mathematical assumption, mean, typical, or first moment. Expected worth is a key principle in business economics, money, and lots of various other topics. Necessarily, the expected value of a constant arbitrary variable.

X. =. c.

\ displaystyle X= c is.

c.

\ displaystyle c . The expected worth of an arbitrary variable.

X.

with equiprobable results.

c.

1.

,. ... ,.

c.

n.

\ displaystyle \ is specified as the expected value of the terms.

c.

i

.

If some of the chances.

Public relations.

(. X. =.

c.

i.

).

of an individual outcome.

c.

i.

\ displaystyle c _ i are unequal, after that the expected value is defined to be the probability-weighted average of the.

c.

i.

\ displaystyle c _ s, that is, the sum of the.

n.

\ displaystyle n products.

c.

i.

⋅. Pr.

(. X. =.

c.

i.

).

\ displaystyle c _ \ cdot \ Public relations \,( X= c _ i) . The expected worth of a basic arbitrary variable includes assimilation in the feeling of Lebesgue.

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