Problem 2 (30 points) A house basement consists of a pumping system to remove water from the basement thus preventing flooding. The system consists of a float that closes the switch S which turns on the pump. An alarm sounds if the pump fails so that the operator can remove the water manually using a bucket. The failure probability of each event is as follows: Initiating event Water rises Switch - 1%, Power - 0.1%, Pump - 5%, Alarm - 10%. Bucketing - 1% Determine the probability of failure Purull . pol oros Power Supply Pump Alarm 0.01 Bucketing S 0.01 lirol