The overall project risk factor is known to be 0.5.The probability of dependency failure is twice the probability of complexity failure and four times the probability of maturity failure.The consequence of performance failure is twice the consequence of reliability failure,four times the consequence of schedule failure and eight times the consequence of cost failure.What is the difference between the probability of maturity failure and the consequence of cost failure? $$\begin{array} { | l | l | l | l | }
\hline \text { Maturity } & \mathbf { X } & \text { Cost } & \mathbf { Y } \
\hline \text { Complexity } & \mathbf { 2 X } & \text { Bchedule } & \text { 2Y } \
\hline \text { Dependency } & 4 \mathrm { X } & \text { Reliability } & \text { 4Y } \
\hline & & \text { Performance } & \text { 8Y } \
\hline
\end{array}$$
A)0.026
B)0.033
C)0.041
D)0.048

Question

The overall project risk factor is known to be 0.5.The probability of dependency failure is twice the probability of complexity failure and four times the probability of maturity failure.The consequence of performance failure is twice the consequence of reliability failure,four times the consequence of schedule failure and eight times the consequence of cost failure.What is the difference between the probability of maturity failure and the consequence of cost failure? $$\begin{array} { | l | l | l | l | } 
\hline \text { Maturity } & \mathbf { X } & \text { Cost } & \mathbf { Y } \
\hline \text { Complexity } & \mathbf { 2 X } & \text { Bchedule } & \text { 2Y } \
\hline \text { Dependency } & 4 \mathrm { X } & \text { Reliability } & \text { 4Y } \
\hline & & \text { Performance } & \text { 8Y } \
\hline
\end{array}$$
A)0.026
B)0.033
C)0.041
D)0.048

Quizplus · Accepted Answer

The probabilities add up to 1: X + 2X + 4X = 7X = 1, so X = 1/7. The consequences add up to 1: Y + 2Y + 4Y + 8Y = 15Y = 1, so Y = 1/15. The difference is 1/7 - 1/15 = 0.026.

The Overall Project Risk Factor Is Known to Be 0