A forest consists of two types of trees: those that are 0-5 ft tall, and those that are taller than 5 ft (>5'). Each year, 40% of all 0 - 5' ft tall trees die, 10% are sold for $20 each, 30% stay between 0 and 5 feet, and 20% grow to be more than 5 feet. Each year, 50% of all trees taller than 5 feet are sold for $50, 20% are sold for $30, and 30% remain in the forest. The following is the Transition Probability Matrix:

(a) What is the probability that a 0-5-foot-tall tree will die before being sold?

(b) If a tree (less than 5 feet) is planted, what is the expected revenue earned from that tree?

05>5Die$20$30$50P=05>5Die$20$30$500.3000000.20.300000.4010000.100010000.2001000.50001