4. Suppose that it takes an engineer T hours to repair a router,where T ∼ Exp(1/2). (a) Find the probability that it takes theengineer more than 2 hours to repair the router. (b) On May 1st,your router was broken at 5 pm and the engineer starts repairing at6 pm. While he is repairing the router, you are working on your ECI114 homework 3. However, the router has not been fixed when youfinish the homework, which is at 10 pm. You do know that thehomework is due 11:59 pm on Canvas. What is the probability thatyou do miss the submission? So, do submit the your works early!