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.
A. What is the expected number of requests in an hour? Give an exact answer.
B. What is the probability that the number of requests in an hour is between 8 and 10 inclusive? Give your answer to four decimal places.
C. What is the expected number of requests in a 10 hour work day? Give an exact answer.
D. What is the probability that the number of requests in a 10 hour work day is between 68 and 72 inclusive? Give your answer to four decimal places.
E. What is the standard deviation of the number of requests in a 10 hour work day? Give your answer to four decimal places.