Consider a web-server that receives web requests at an average rate ? of 20 requests per second that follows a Poisson distribution. Answer the following questions: (a) What's the probability that it would receive 1000 requests in a minute?   (b) What's the probability that no requests will arrive for 3 seconds?   (c) Consider one second and assume that 20 requests already arrived in 0.5 second, what is the probability that 20 requests will arrive in the next 0.5 seconds?   (d) If you found out that the web-server was 70% of the time busy on average, what would be its average service rate?

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