Question 2) (60 points) Tyson is working on a difficult math problem. As an able student, he came up with 3 alternative ways to tackle the problem. If he tries to solve it using the first method, he arrives at the solution after 3 hours of work. If he chooses the second method, he will spend 4 hours to find a solution, but to no avail. The third method, if attempted, will keep him busy for 2 hours, but in the end a solution will be elusive. Tyson will repeat this process until he solves the problem, however each time he starts from scratch, he is equally to use one of the three methods, irrespective of the history of his previous attempts. (a) (10 points) What can you say about the probability that he will eventually solve this problem? Is it possible that he cannot find a solution? (b) (50 points) What is the expected time he needs to spend to solve the problem? Wine ws