Support requests arrive at a software company at the rate of 1 every 20 minutes. Assume that the requests arrive as events in a Poisson process.
What is the expected number of requests in an hour? Give an exact answer.
What is the probability that the number of requests in an hour is between 4 and 6 inclusive? Give your answer to four decimal places.
What is the expected number of requests in a 10 hour work day? Give an exact answer.
What is the probability that the number of requests in a 10 hour work day is between 34 and 46 inclusive? Give your answer to four decimal places.
What is the standard deviation of the number of requests in a 10 hour work day? Give your answer to four decimal places.