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Unformatted text preview: x C(x) = 1200  50x 2 P(C(x)) C(x)P(C(x)) 1200 0.1 120 1 1150 0.3 345 2 1000 0.4 400 3 750 0.2 150 1015 E(C(x)) = ∑ C(x)P(C(x)) = 1015. PROBLEM 6 x P(x) xP(x) x 2 P(x) 0.4 1 0.3 0.3 0.3 2 0.2 0.4 0.8 3 0.1 0.3 0.9 1 2 μ = ∑ xP(x) = 1 σ 2 = ∑ x 2 P(x) – μ 2 = 2 – 1 2 = 2 – 1 = 1 PROBLEM 7 E(y) = E(3x2) = 3E(x) – 2 First: x / 4 1 E(x) e dx 4 4 x= = E(y) = 3E(x) – 2 = 3(4) – 2 = 10 V(ax+b) = a 2 V(x) V(3x2) = 3 2 V(x) = 9V(x) First: 2 2 2 x / 4 2 2 1 V(x) x f(x)dx x e dx 4 4 32 4 16= μ === V(3x2) = 9(16) = 144...
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This note was uploaded on 05/06/2010 for the course ST 558 taught by Professor Staff during the Spring '08 term at NMT.
 Spring '08
 Staff

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