What digital camera is better?

http://www.amazon.com/Fujifilm-Finepix-Z...

http://www.amazon.com/Casio-Exilim-EX-Z7...

http://www.amazon.com/Sony-Cybershot-DSC...

Get the third one (sony)
I have a suggestion though. Since you are going to pay about $215, just get a better sony camera. much better for less. i got my sony dsc t20B (black) for $213 (shipping included) and i just so love it.
get it from here:
www.preferredphoto.com

oh, by the way, the dsc t20 has face detection too and supports HD! =)

get the 3rd one that brand works better.

IMO you should find a store that sells all 3 and then compare them side by side. Pick the one you like best, buy it, and then study and read the Owner's Manual. Once you're familiar with it then you can use it and get the best results.

Sony and Fujifilm are good trusted brands. Either one is a good bet.

I would go with the sony

go with the sony. That model is a newer one which replaced the DSCW55 which doesn't shoot the pictures in HD. Yours shoots the pictures in full 1080P.

I will go with Fuji with its Face detection technology. And the noise is also very less in fuji

They all have 7 megapixel sensors -- they are all from solid manufactures -- they are all simple point and shoot cameras -- however, only one features a very well respected lens -- Zeiss -- used in the Sony. The "heart" of every camera is the lens. For the slight extra money for the Sony -- it is worth it.

All three use lithium-ion batteries, which is good. They're very similar technically.