Linear AlgebraMediumMarkov Chains & Long-Run Behavior
Markov Chains & Long-Run Behavior · Medium problem
A support ticket is in Level 1 or Level 2 until it is Resolved (absorbing). Each hour, a Level 1 ticket stays at Level 1 with probability , is escalated to Level 2 with probability , and is resolved with probability . A Level 2 ticket is sent back to Level 1 with probability and is resolved with probability . Starting at Level 1, what is the expected number of hours until the ticket is resolved? Express your answer as a common fraction.