Hi! I need help with this question in operations management class. I give excellent ratings. Thank you !

1. A frog is placed on one vertex of a cube at time 0. From one time period to next, the frog stays at its current vertex with probability 2/5; with probability each of 1/5, the frog chooses one of the three edges and jumps to an adjacent vertex. g.) Now suppose that at each time period, if the frog jumps to a different vertex, there is a chance of 1/2 that the frog falls off the cube and never returns. If the frog stays at the current vertex, there is a chance of 1/4 that the frog calls one other frogs to join the cube on the same vertex. Then each frog acts independently according to the same transition probabilities. What is the number of different frogs that ever appear on the cube? List the equations and solve for the exact solution. What if two frogs are placed on the cube in the beginning? 1. A frog is placed on one vertex of a cube at time 0. From one time period to next, the frog stays at its current vertex with probability 2/5; with probability each of 1/5, the frog chooses one of the three edges and jumps to an adjacent vertex. g.) Now suppose that at each time period, if the frog jumps to a different vertex, there is a chance of 1/2 that the frog falls off the cube and never returns. If the frog stays at the current vertex, there is a chance of 1/4 that the frog calls one other frogs to join the cube on the same vertex. Then each frog acts independently according to the same transition probabilities. What is the number of different frogs that ever appear on the cube? List the equations and solve for the exact solution. What if two frogs are placed on the cube in the beginning