A continuous distribution is a probability distribution where the underlying value is continuous, for example a height or period of time. Usually there is zero probability of being any particlar value, instead it is a probability density, that is a value of 0..3 at 1.7 metres, is interpreted to mean that in a small area around 1.7 (say 1.6 to 1.8), the probability of being in the range is 0.3 times the width of the range (0.2) that is 0.06.
Used in glossary entries: probability density, probability distribution