A multimodal biometric system uses face and fingerprints together. The system combines the biometrics at the decision level:

• if the decisions of both subsystems agree then the outcome of the combined system is the same as that of the subsystems
• if the decisions of the two subsystems do not agree then the outcome of the combined system is non-match.

The false match rates (FMR) and false non-match rates (FNMR) for the two biometrics separately are known to be:

• the FMR for the Iris subsystem is 2%
• the FNMR for the Iris subsystem is 4%
• the FMR of the fingerprint subsystem is 4%
• the FNMR of the fingerprint subsystem is 9%.

a.Calculate the FMR of the combined system.

b.Calculate the FNMR of the combined system.

show your working and express your answers in percentage to receive full marks.