Exercise 4B1: Failure Rate Analysis Problem 1 (5 Points). Calculate solutions to each of the following Failure Rate Analysis problems. Show proper formula setups, calculations, and units of measure as appropriate. Truncate all calculations at a maximum of 4 decimal places. You should review the course notes for this topic before attempting the problems below. Problem 1: A production run of 100 refrigerators is tested. 5 refrigerators out of the run would not start when plugged in. What is the failure rate? (1 Point) Problem 2: Suppose that 25 water pumps are tested under full load for 100 hours? Three of the water pumps fail during the testing period. What is the failure rate for the water pumps? (1 Point) Problem 3: Suppose that seven radios of a particular model are tested under full load for 50 hours? Three of the radios fail during the testing period. If the first radio fails at 20 hours, the second radio fails at 38 hours, and the third radio fails at 42 hours, what is the failure rate for this model of radio? (2 Points) Problem 4: A product has been operating for 10,000 hours and has experienced four failures. What will be its MTBF? (1 Point)