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sattari [20]
3 years ago
15

Expected value is

Mathematics
1 answer:
solong [7]3 years ago
6 0

Answer:

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

Step-by-step 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)

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AURORKA [14]
Let the initial number of girls be x, this represents 40% of the dancers.
Total number of dancers will therefore be:
100/40*x=2.5x
When 15 more girls joined, the new number of girls was:
x+15 this represents the total percentage of 52%. The new number of dancers became:
2.5x+15:
therefore the new percentage of girls can be expressed as follows:
(new number of girls)/(new number of dancers)×100
(x+15)/(2.5x+15)×100=52
(x+15)/(2.5x+15)=0.52
x+15=0.52(2.5x+15)
x+15=1.3x+7.8
15-7.8=1.3x-x
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