Problem 1 Voltage surges in your area occur according to a Poisson process with an average rate of 1 every 3 months. Each time a voltage surge occurs, your desktop and microwave fail independently with probability 0.2 and 0.1, respectively. Neither will fail without a voltage surge. What is the probability that in the next three years you will need to replace (at least once): a. Your desktop (event A) b. Your microwave (event B) c. Nothing (event C) d. Your microwave and/or your desktop (event A B = C 0 ) e. Both your microwave and your desktop (event A B) Find the probability of these events in the order listed. For part e, use your answers for A, B, and C. Are events A and B independent?