Calculate the variance of the following probability distribution: -3 -2 -1 1 3 f(x) 0.17 0.14 0.11 0.16 0.11 0.14 0.17 O 3.86 O3.94 4.90 4.40

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A: As per our guidelines we are suppose to answer only one question. E(X)=∑X.P(X)

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A: Variance od X is given by, Var (X)= E[X2]-[E(X)]2where, E(X)=∑iX P(X)and E(X2)=∑X2 P(X),  where P(X)…

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A: Variance=EX2-E2(X)=32730+5213+721330-3730+513+713302=31.6666666667-5.42=2.5066666667

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