It IS suppose to be like that... The LCD image is a real time image of, for example 12 frames per second, that will mean the camera is taking something like 1/12 second exposures and showing them one after another (May not be accurate just trying to explain the technical requirement to achieve a motion image) Under low light conditions, the camera need to bo0st the gain/ Electronically amplifies the signals from the CCD to show what its seeing, 1/12 second exposure is not going to show you anything in low lighting conditions, ( e.g house hold lamp indoor at night) the amplification results in amplification of the noise and stuff, so you end up with a fuzzy LCD in real time... What sony does I believe is to reduce the frame rate, this causes things to be in slow motion but they won't need to amplify so much as they have more time in between frame to capture light.
Hee Hee, Ling theres nothing wrong with it... take a picture, and preview it, under preview mode it should not be fuzzy... Now try to capture in movie mode... the movie is going to be fuzzy... same reason, and you always wonder why TV studio's lights are so bloody bright...Now you know.