Expected value is a. (Probability of state A+Value in state A) (Probability of state B+Value in state B) b. (Probability of state AValue in state A)-(Probability of state BV…

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asked Aug 24, 2021 39.2k views

1 Answer

Greg Zimmers · Answer 1 · 2021-08-29T19:30:37+0000

Answer:

(C). (Probability of state A*Value in state A)+(Probability of state B*Value in state B)

Explanation:

The expected value of a probability distribution, E(X) is defined as:

$E(x)=\sum_(i=1) ^(k) x_(i) \cdot P(x_(i))\\$Where x=An Outcome\\P(x)=Probability of that Outcome$

Given Outcome A and B, the Expected Value therefore is:

Expected Value = (Probability of state A*Value in state A)+(Probability of state B*Value in state B)