Reliability of Microprocessors The microprocessors manufactured by United Motor Works, which are used in auto-mobiles to regulate fuel consumption, are guaranteed against defects for 20,000 mi of use. Tests conducted in the laboratory under simulated driving conditions reveal that the distances driven before the microprocessors break down are exponentially distributed and that the average distance driven before the microprocessors fail is 100,000 mi. What is the probability that a microprocessor selected at random will fail during the warranty period?