Right - here's the thing.
To take a photo with this camera, you first press the shutter button in gently and hold. During this time the camera will determine focus and lighting factors, signalled by a flashing green light - takes no more than two seconds at most. When the light is constant, the camera is ready, and you press the shutter button in all the way and take the photo. There is no shutter delay between pressing the button in to take the photo and the camera actually taking it.
People who don't read the instructions just hold the button in all the way, and the camera goes through the above anyway, and then takes the photo immediately. Such ignorants miss the point completely and shout "shutter delay!".
The camera is not the one if all you're after is imagesof objects in very fast motion (I mean, very fast, where you blink and totally miss the moment). I use another camera for such things. Other than that, the DSC-P71 is a fantastic camera and has not disappointed me yet. It's fantastic for (almost) everything, especially landscapes and still life, I've found.