Hey student has the following attendance pattern: if she is present in class one day, the probability she will be president the next day is 0.7. If she is absent from class one day, the probability she will be present the next day is 0.4.

A) write the transition matrix which describes the situation.

B) if she is present today, find the probability she will be absent one week from today ( suppose the class meets five times a week). Round your final answer to four significant digits