Where probabilities are...

P(1) = 0.0021 P(2) = 0.0001 P(3) = 0.0095

P(4) = 0.0027

P(5) = 0.0054

P(6) = 0.012

a) Please fill out the probabilities in the blanks shown in the above tree for P11, P12, P21, P22, P31 & P32. (3 pts) Note: Based on the probabilities, rare event approximation can be used.

b) Use Boolean algebra to simplify the above Fault Tree. (7 pts) (show your work)

c) Develop a Boolean Equivalent Fault Tree based on the Minimal Cut Sets derived in Part c. (5 pts)

Fault tree & Boolean equivalent tree (15 pts) Please use the fault tree shown below to solve questions 2a through 2h. (Show all your work.) 1. TOP (PLI 12 (P21 (P22 6 3 2 5P' (P3I 4 32 4 4 1 Fault tree & Boolean equivalent tree (15 pts) Please use the fault tree shown below to solve questions 2a through 2h. (Show all your work.) 1. TOP (PLI 12 (P21 (P22 6 3 2 5P' (P3I 4 32 4 4 1