Asystem consists of two identical pumps, #1 and #2. if one pump fails, the system will still operate. however, because of the added strain, the remaining pump is now more likely to fail than was originally the case. that is, r = p(#2 fails | #1 fails) > p(#2 fails) = q. if at least one pump fails by the end of the pump design life in 8% of all systems and both pumps fail during that period in only 4%, what is the probability that pump #1 will fail during the pump design life?