Question 7 3.5 pts There are 3 space-mission sites, X, Y and Z operated proportionally to the extents of 35 %, 40% and 25 % respectively. Further, unsuccessful missions observed from these sites are in the proportion (2.5):(3.5):(4.5) respectively. Suppose when a certain mission commissioned and jointly operated at these three sites is declared as being unsuccessful; and, relevant mission-failure state is denoted as: MF. Hence, determine the following: (i) Probability/chance of mission-failure, p(MF) due to the operation of: Site X or Y or Z; (ii) Conditional probability/chance of mission-failure, p(X/MF) due to the failed operation at X; (iii) conditional probability/chance of mission-failure, p(Y/MF) due to the failed operation at Y; (iv) conditional probability/chance of mission-failure, p(Z/MF) due to the failed operation at Z; and, (v) {probability of error in wrongly specifying the mission failure at site X as due to the site Y Choose the correct set of answers in the multiple-choices listed as regard to: . P(MF) p(X/MF) p(Y/MF) . p(Z/MF) . Error probability in wrongly specifying the observed mission failure at site X, as due to site Y Multiple-choices on the answer-set (ii) Choices (i) p(MF) (ii) p(X/MF) (iv) p(Z/MF) (vi) Error P(Y/MF) probability 0.3238 0.2574 0.4118 0.3309 0.3333 2 0.5284 0.2063 0.1784 0.2054 0.3334 3 0.1093 0.3162 0.6785 0.5555 0.6331 4 0.3081 0.3162 0.2783 0.4050 0.2333 5 0.3083 0.2162 0.3784 0.4054 0.4333 O Choice 1 O Choice 2 O Choice 3 O Choice 4 O Choice 5