6) During the lunch time, David will have either Chinese, Mexican or pizza. The matrix below shows the probabilities of next day restaurant depending his lunch today. C M P C0.3 0.3 0.4 M0.35 0.4 0.25 P0.25 0.2 0.55 a) What is the probability that David have a Mexican food the day after tomorrow if he has Pizza today? b) What is the probability that David have a Chinese food the day after tomorrow if he has Mexican food today? C) Find the probability matrix of after several days. d) Bonus; Repeat (c) for the matrix below. C M P C0.55 0.2 0.25 M0.15 0.7 0.15 P0.05 0.1 0.85