Question: The LAN at a small university is temporarily shutdown for repairs. Previous shutdowns have been due to hardware failure, software failure, or power failure. Maintenance engineers have determined the probabilities of hardware, software, and power problems are 0.02, 0.04, and 0.03, respectively. They have also determined that if the system experiences hardware problems, it shuts down 72% of the time. . . If software problems occur, it shuts down 11%. If power failure occurs, it shuts down 92% of the time. What is the probability that the current shutdown of the LAN is due to software failure?