A certain type of device has an advertised failure rate of 0.0025 per hour. The failure rate is constant and the exponential distribution applies. (a) What is the mean time to failure? (b) What is the probability that 800 hours will pass before a failure is observed? (a) The mean time to failure is ☐ hours. (Type an integer or a decimal. Do not round.) (b) The probability that 800 hours will pass before a failure is observed is (Round to four decimal places as needed.)

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