Mathematics — Probability · continuous-density-functions
Problem
Suppose that we have a sequence of occurrences. We assume that the time X between occurrences is exponentially distributed with λ=1/10, so on the average, there is one occurrence every 10 minutes (see Example 2.17). You come upon this system at time 100, and wait until the next occurrence. Make a conjecture concerning how long, on the average, you will have to wait. Write a program to see if your conjecture is right.