In: Statistics and Probability
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 the engineer more than 2 hours to repair the router. (b) On May 1st, your router was broken at 5 pm and the engineer starts repairing at 6 pm. While he is repairing the router, you are working on your ECI 114 homework 3. However, the router has not been fixed when you finish the homework, which is at 10 pm. You do know that the homework is due 11:59 pm on Canvas. What is the probability that you do miss the submission? So, do submit the your works early!