Support requests arrive at a software company at the rate of 1 every 10 minutes. Assume that the requests arrive as events in a Poisson process.
What is the expected number of requests in an hour?
What is the probability that the number of requests in an hour is between 7 and 9 inclusive? Give your answer to four decimal places.
What is the expected number of requests in a 10 hour work day?
What is the probability that the number of requests in a 10 hour work day is between 68 and 80 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.