Neco 2020 Data Processing Question 36

A data centre employs three successive security layers. The firewall blocks \\(95\\%\\) of incoming attacks. The intrusion‑detection system (IDS) detects \\(80\\%\\) of the attacks that pass the firewall, preventing a breach. Remaining undetected attacks are mitigated by encryption, which prevents a breach with \\(90\\%\\) effectiveness. If attacks occur at a constant rate of \\(5\\) per month, calculate the expected number of successful data breaches in one year. Then the firewall is upgraded to block \\(99\\%\\) of attacks while the IDS and encryption remain unchanged. What is the expected number of successful breaches per year after the upgrade? Give your answer to two decimal places.