Question: Problem 1. (26 points) Consider the system shown below. The reliability of each process is listed at the top of the box. Components A and

Problem 1. (26 points) Consider the system shown
Problem 1. (26 points) Consider the system shown below. The reliability of each process is listed at the top of the box. Components A and B are attached separately. Component C comes in a container (E) and has a backup (D). Component F is a backup if E fails. A, B, and E (or F) have to working order for the system to work. Please round all percentages to 4 decimal places. 90% 84% B 6096 40 F (backup) 50 D (backup) E (a) [8 points) What is the reliability of the system? (b) [6 points) If $900 must be spent to fix a failed system, what is the expected failure cost of the system? Please round to the nearest dollar. (C) (12 points) If an 80% reliable backup for component A could be included at a cost of $45, should it be included in the product? Why or why not

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