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Identify the formula for variance and the given values.

Mathematics

ScanSolve AI Answer

Step 1: Identify the formula for variance and the given values.
The variance of a random variable XX is given by the formula:

Var(X)=E(X2)−(E(X))2\text{Var}(X) = E(X^2) - (E(X))^2

From the image, we can infer the following:
The values of xx are: −3,−2,−1,0,1,2,3-3, -2, -1, 0, 1, 2, 3.
The corresponding probabilities P(X=x)P(X=x) are:
P(X=−3)=0.05P(X=-3) = 0.05
P(X=−2)=0.1P(X=-2) = 0.1
$P(X=-1)

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