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Mathematics, 31.03.2020 00:46 Hazy095

Web page is accessed at an average of 20 times an hour. Assume that waiting time until the next hithas an exponential distribution.(a.)Determine the rate parameterλof the distribution of the time until the first hit?(b.)What is the expected time between hits?(c.) What is the distribution of the time until the second hit? (Give the name of the distribution andthe value(s) of parameter(s).)(d.)What is the probability that the next hit is within 20 minutes?(e.) Describe the distribution of the total waiting time for 5 hits? (Give the name of the distributionand the value(s) of parameter(s).)(f.) What is the expected total waiting time for 5 hits on the web page?(g.)What is the probability that there will be less than 5 hits in the first hour? (Hint: Consider Poissondistribution instead.)

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