This is a common mistake from not understanding the difference between probability mass functions, where the variable is discrete, and probability density functions, where the variable is continuous. See [What is a probability distribution][1]: > continuous probability functions are > defined for an infinite number of > points over a continuous interval, the > probability at a single point is > always zero. Probabilities are > measured over intervals, not single > points. That is, the area under the > curve between two distinct points > defines the probability for that > interval. This means that the height > of the probability function can in > fact be greater than one. The property > that the integral must equal one is > equivalent to the property for > discrete distributions that the sum of > all the probabilities must equal one.all the probabilities must equal one. [1]: http://www.itl.nist.gov/div898/handbook/eda/section3/eda361.htm