Page 151 - Math Grade 12 (Advance)

PROEUS DARA

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l!lMSl Var(2X + 3) '1

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GtiJm: &l!llflS Var(2X + 3) = 2 Var(X) = 4Var(X) (1)
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2 2
Var(X) = E(X ) - E (X)
E(X) = 'LxxP(X=x) = 10(0.1)+20(0.6)+30(0.3) = 22

2
E(X ) = z.i x P(X = x) = 100(0.1) + 400(0.6) + 900(0.3) = 520
2
&l!lQlS Var(X) = 520- (22) = 36
til'!§ (1) tl!llflS Var(2X+3) = 4Var(X) = 4x36 = 144

t:ltHS8 Var(2X + 3) = 144 '1
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146