Question: Problem 1. (Random Variables) Prove that the mean and standard deviation of the exponential distribution are equal. Problem 2. (Queueing Theory) The time between failures

Problem 1. (Random Variables) Prove that the mean

Problem 1. (Random Variables) Prove that the mean and standard deviation of the exponential distribution are equal. Problem 2. (Queueing Theory) The time between failures of a Kencore refrigerator is known to be exponential with mean value 9000 hrs (about 1 year of operation), and the company issues a 1-year warranty on the refrigerator. What are the chances that a breakdown repair will be covered by the warranty

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