1. Given the Fault Tree below, a. Determine the Minimum Path Sets. (Show your work.) b. Construct the Reliability Block Diagram (RBD) for the Fault Tree c. Use Excel to construct the Truth Table and determine actual P. Use a light shade to distinguish those combinations that result in system failure (i.e. get you to the top). Include your answer on the paper "hand-in" portion and submit your spreadsheet through Canvas. (For initiators 18, use 10% as the failure probability.) d. Estimate PT based on Cut Sets [It will be helpful to you if you do this (part d) before you do part c.]