05 Exercise 5 Water pumps 10 Points Four large water pumps supplyF Bellingham. Washington, with water. If water pump k (I: = 1, 2, 3, 4) breaks down. then the time to repair it has an exponential distribution with mean ,3 = 25': hours. Assume water pumps breakdowns are independent, and when breakdowns occur. the repair times are also independent. 05.1 [a] 5 Points {a} Suppose water pump it breaks down. Find a fully simplied expression using it for the probability.F that it takes more than 30 minutes to repair pump it. Enter your answer here 05.2 (b) 5 Points [b] Suppose all four water pumps break down at about the same time. What is the probability that at least one of the four pumps is repaired within one hour? Enter your answer here