For z>0, f(z)=1/10 e(-z/10), gives the density function of the duration, Z, in minutes between calls to an electrical supply store.
In probability theory, the probability that a random variable will fall into a specific range of values rather than taking on a single value is defined by a probability density function (PDF). The function explains the existence of mean and deviation as well as the probability density function of a normal distribution. When 0 x 2, let's say that the probability density function of a continuous random variable is given by f(x) = x + 2. We are looking for P(0.5 X 1). Next, we integrate x + 2 between 0.5 and 1. This results in 1.375.
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