It all depends on what is written in the lease.
If it states it is the responsibility of the Landlord it is down to them to ensure everything is in order, if not the responsibility lays with you as the responsible person. It can also be a combination of the 2 both yourself and the landlord.
It is important that you are clear with exactly who is responsible.
That been said even if the Landlord has taken responsibility that will normally cover FRA's, Fire fighting equipment & alarms etc.
The training of your staff and ensuring everyone inc. visitors knows exactly what to do in the event of a fire will normally be down to yourself as the responsible person.