Solution exercise 4

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Structure function
f(x) = x_Mox_P1x_F1x_MP + x_Mox_P2x_F2x_MP - x_Mox_P1x_P2x_F1 x_F2x_MP

System reliability
p_S = p_Mop_P1p_F1p_MP + p_Mop_P2p_F2p_MP - p_Mop_P1p_P2p_F1p_F2p_MP = 0.9966286

Birnbaums measure
I^B(P1) = p_Mop_F1p_MP-p_Mop_P2p_F1p_F2p_MP = 0.0134626
I^B(P2) = p_Mop_F2p_MP-p_Mop_P1p_F1p_F2p_MP = 0.0134626
I^B(F1) = p_Mop_P1p_MP-p_Mop_P1p_P2p_F2p_MP = 1.335317E-02
I^B(F2) = p_Mop_P2p_MP-p_Mop_P1p_P2p_F1p_MP = 1.335317E-02
I^B(Mo) = p_P1p_F1p_MP+p_P2p_F2p_MP-p_P1p_P2p_F1p_F2p_MP = 0.9979938
I^B(MP) = p_Mop_P1p_F1+p_Mop_P2p_F2-p_Mop_P1p_P2p_F1p_F2 = 0.9984488