A product design engineer must decide if a redundant component is cost justified in a certain system. The system in question has a critical component with a probability of 0.96 of operating. System failure would involve a cost of GH20,000. What is the probability that the system will fail? Probability of the system failing is The expected failure cost for the system is For a cost of GH200, a switch could be added that would automatically transfer the system to the backup component in the event of a failure, the backup probability is also 0.94? The reliability of the system together with the backup iS What is the probability of the system failing with the addition of a backup