1. (14 points) Consider a three-state model with states numbered 0 , 1 , and 2 . Given: - The only possible transitions are 0 to 1,0 to 2 , and 1 to 2 . - x 01 = 0.02 , for x 50 ; x 01 = 0.03 , for x > 50 . - x 02 = 0.02 , for x 0 ; x 12 = 0.1 , for x 0 . Calculate 15 plt , the probability that a person who is in state 0 at age 45 is in state 1 when he reaches 60..