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$Y = 2(X^2) + 6 $

if X = 2 or X = -2 $\rightarrow$ Y = 14

X = 1 or X = -1 $\rightarrow$ Y = 8

X = 0 , Y$\rightarrow$ 6

$P(14) = 0.25 + 0.05 = 0.30$

$P(8) = 0.20+0.35 = 0.55$

$P(6) = 0.15$

$E(Y) = 14 \times 0.30 + 8 \times 0.55 + 6 \times 0.15 = 9.5$
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