Each month, a sales manager classi¯es his sale people as low, medium, or

Question

high producers. There is a 20% chance that a low producer will become a medium producer
the following month, and a 5% chance that a low producer will become a high producer.
A medium producer will become a low or high producer, respectively, with probabilities
20% and 5%. A high producer will become a low or medium producer, respectively, with
probabilities 5% and 20%.

After a long time the percentage of low producers is closest to?

After a long time the percentage of high producers is closest to?