A student has the following attendance pattern. If he is present in class one day, the probability he will be present the next day is 0.5.If he is absent from class one day, the probability he will be present the next day is 0.4.(a) Write this as a transition matrix using present and absent as the state.(b) If he attends class the first day, find the probability he will be present the second day.(c) If he attends class the first day, find the probability he will be present the third day.(d) Find percent of time the student will be present in the long run.

What will be an ideal response?


(a) 

(b)  0.5
(c)  0.45   
(d) 

Mathematics

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