(Solution) - Computer response time is an important application of the gamma -(2025 Original AI-Free Solution)

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Computer response time is an important application of the gamma and exponential distributions. Suppose that a study of a certain computer system reveals that the response time, in seconds, has an exponential distribution with a mean of 3 seconds.
(a) What is the probability that response time exceeds 5 seconds?
(b) What is the probability that response time exceeds 10 seconds?