A random sample is one in which each item in the population has an equal chance of being selected.
In this scenario, the best option for a random sample of lamps to be inspected is:
100 lamps on each floor chosen randomly
This option ensures that a representative sample is taken from each floor of the hotel, which allows for the variation in lamp usage and types across different floors to be accounted for. The other options do not provide a random sampling method, as they focus on specific groups rather than a diverse random selection across the hotel.