Real world examples of continuous uniform distribution on [0,1] Can someone give me real world examples of uniform distribution on [0,1] of a continuous random variable, because I could not make out one.

In analog-to-digital conversion a quantization error occurs. This error is either due to rounding or truncation. When the original signal is much larger than one least significant bit (LSB), the quantization error is not significantly correlated with the signal, and has an approximately uniform distribution. The RMS error therefore follows from the variance of this distribution.
