Suppose you know that only one person showed up at the counter of a local business in a given 30 minute interval of time. Then, \(R\) = [0,30] given \(f(x) = 1/30\text{.}\)

Further, the probability that the person arrived within the first 6 minutes would be \(\int_0^6 \frac{1}{30} dx = 0.2\text{.}\)