SOLVE

A frog is swimming back and forth between two lily pads. Call these lily pads A and B, with the frog currently on A. * If the frog is currently on pad A, there is a 60% chance that the frog will travel to lily pad B in the next minute. * |If the frog is currently on pad B, there is a 70% change that the frog will travel to lily pad A in the next minute. (1) What is the transition matrix? Rows and columns represent pad A and pad B, respectively. (2) What is the probability that the frog will be on lily pad A after an hour (an hour is a long way away, so you need to find the long-run distribution here)? Report the probability as decimal to 4 places. ' (3) What is the probability that the frog will be on lily pad B after an hour (an hour is a long way away, so you need to find the long-run distribution here)? Report the probability as decimal to 4 places