Question: 1. Use the transition matrix P and initial state matrix Xo to find the state vectors X1, X2 and X3 : 0.8 0.25 P =

1. Use the transition matrix P and initial state matrix Xo to find the state vectors X1, X2 and X3 : 0.8 0.25 P = 0.2 0.75 " - [03 ] Find the steady state vector. 2. Students in a gym class have a choice of swimming or playing basketball each day. 25% of the students who swim one day will swim next day. 40% of the students who play basketball one day will play basketball next day. Today, 60 students swam and 30 students played basketball. (a) Find the transition matrix P. (Make sure to label each row and each column. ) (b) How many students will play basketball (a) tomorrow? (b) in the long run

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