Whose responsibility is it to have a fire extinguisher?

It sll depends on where you live, I suppose. I believe in most places the landlord is required to have a smoke detector. The fire extinguisher is probably your own responsibility. Think of it as a type of insurance. By the way, even as a renter you should have insurance, too.

I am not really sure. Considering that in each place there are different laws. But in my own opinion, the owner of the building may he be the landlord or not, is accountable for making the place safe. So it would be his or her duty to provide the place with extinguishers, smoke detectors, fire exit.

I'm sure there are different rules for different places. I have never had a landlord provide a fire extinguisher in any place I've ever rented over the years. They DO have to provide a smoke alarm, but even then not all of them provide those. It would be in your best interest to get these anyways, and then if and when you move, you can take them with you. I can see where a landlord wouldn't provide them...it would be too easy for somebody to just take along with them when they moved on. Lots of times the local fire department have programs where they offer those in the community a free one. It's worth checking out. Even if you can't get a free one, you have to ask yourself what you would do in the case of fire without one? It's just safer to have one that works well on any type of fire, and not get the ones that are only for electrical fires, or only for grease fires, etc. Do buy the multi-use ones that are good for any type. Like Gerty said, think of it as insurance, because if you do ever have a fire, at least you have a shot at stopping it before it destroys everything that you own, and possibly you and your family too. I have a fire alarm on each level of my house, as well as multiple fire extinguishers. I keep an extinguisher at the top of the basement stairs, in the kitchen, in the laundry, in the garage, and one in the main part of the house. If I didn't own a fire extinguisher I would have lost my house a few weeks ago due to a kitchen fire. It would have been totally engulfed by the time the fire dept got there, and the fire dept is only 3 miles away. I'd rather be prepared and never ever have to use them, but when you need one...you need it now!!