A company manufactures a wash-down motor that is used in the food processing industry. The motor is marketed with a warranty that guarantees it will be replaced free of charge if it fails within the first 12,000 hours of operation. On average, the wash-down motors operate for 14,000 hours with a standard deviation of 1, 050 hours before failing. The number of operating hours before failure is approximately normally distributed. a. What is the probability that a wash-down motor will have to be replaced free of charge?b. What percentage of wash-down motors can be expected to operate for more than 16, 100 hours?c. If the company wants to design a wash-down motor so that no more than 1% are replaced free of charge, what would the average hours of operation before failure have to be if the standard deviation remains at 1, 050 hours? a. The probability that a wash-down motor will have to be replaced free of charge is (Round to four decimal places as needed.)b. It can be expected that % of wash-down motors will operate for more than 16, 100 hours (Round to two decimal places as needed.)c. The average hours of operation before failure would have to be hours.(Round to the nearest hour as needed.)