... PROBABILITY CONCEPTS 20 0 150 2. 100 50 0 -50 1 I 0 50 100 1 50 20 0 25 0 300 X Fig. 2. 10 Excess loss variable -50 I I 0 50 100 150 20 0 25 0 300 X f;g. 2. 11 Left censored ... E(Xf) = 1 x2(0.01)dx = 3,333.33, 100 dx = 1,000, (. + 2, 000)4 dx = 4,000,000, O0 3 (2, 000)3 (x + 2, 000)4 E(X;) -1 x2 E(X3) = O(0.5) + l(0 .25 ) + 2( 0. 12) + 3(0.08) ... = O(0.5) + l(0 .25 ) + 4(0. 12) + g(0.08) + 16(0.05) = 2. 25, E(X4) = O(0.7) + x(0.000003)e-0~00001”dx = 30,000, Lm E(X2) = 02( 0.7) + x2(0.000003)e-0~000012d~ = 6,000,000,000,...