Question: The time between requests to a web server is exponentially distributed with mean 0.2 seconds. a) Find the probability that there will be exactly

The time between requests to a web server is exponentially distributed with

The time between requests to a web server is exponentially distributed with mean 0.2 seconds. a) Find the probability that there will be exactly 3 requests in a 2-second time interval. b) Find the probability that there will be more than 1 request in a 2.5-second time interval. c) Find the probability that the time between requests is greater than 3 seconds. d) Find the probability that the time between requests is between 1.5 and 2.5 seconds. e) If there have been no requests for the past two seconds, what is probability that more than one additional second will elapse before the next requests?

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