Neco 2018 Data Processing Question 45

An organization faces an initial monthly breach probability of \(0.12\). It implements three independent security measures: a firewall that reduces the breach probability by 40 %, encryption that reduces the remaining probability by 30 %, and employee training that reduces the remaining probability by 50 %. (a) After applying these three measures sequentially, what is the resulting breach probability? (b) The organization wants the final breach probability to be at most \(0.02\). Determine the minimum additional reduction percentage that a fourth measure must achieve (applied after the three) to meet the target. (c) Assuming the fourth measure achieves exactly the required reduction, what is the expected number of breaches per year (12 months)?