(1.1 Given the following Markov matrix. Answer the questions listed below. (16 ma rks) 0 0.4 0 P: 0.2 0 0 0 0 0 0 0 0 0.2 a. Fill the empty places with non-zero values in the above matrix P and verify whether it is a transition matrix or not? b. Write any two Cha pman-Kolmogorov equations of your choice. Apply any one equation to the given transition matrix P. c. Check whether the Markov chain of matrix P is reducible or not? d. Sketch a transition diagram of matrix P. e. What will be the stable distribution matrix? f. Classify the chain by identifying transient, recurrent, and absorbing states. g. Check whether it is possible to verify a non-null recurrent state? h. Find the period of recurrent states, if exist