Finishing in Order
Three machines have independent exponential lifetimes. Machine A has mean lifetime 12 months, machine B has mean 6 months, and machine C has mean 4 months. What is the probability that A fails first, then B, then C? Give a reduced fraction.
Related problems & prerequisites
Worth solving first
- Twice as Long 3.0/10
- Two Buses in a Row 3.0/10
- The Quiet Line 3.0/10
Source: Classic exponential-distribution exercise in wide circulation; no traceable original source. Statement written for AxiomIQ.