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1. The time T required to repair a machine is an exponentially distributed random variable with mean 12 (hours). (a) What is the probability that a
1. The time T required to repair a machine is an exponentially distributed randomvariable with mean 12(hours).(a) What is the probability that a repair time exceeds 12hour?(b) What is the probability that a repair takes at least 1212hours given that itsduration exceeds 12 hours?