At a dock where trucks are unloaded one-at-a-time, it was observed that a small truck was followed by a large truck 10% of the time, and a large truck was followed by a small truck 60% of the time....

At a dock where trucks are unloaded one-at-a-time, it was observed that a small truck was followed by a large truck 10% of the time, and a large truck was followed by a small truck 60% of the time. Define a Markov chain model for representing the type of truck being unloaded and find the percentage of large trucks that are unloaded. Suppose the times to unload the small trucks are i.i.d. with mean μ and the times to unload the large trucks are i.i.d. with mean μ. Find the percentage of unloading time devoted to large trucks.