Suppose that internet users access the Department of Statistics website according to a Poisson process at a rate of 2 users per hour. a. How much time would be expected to elapse between the first and second time the website is accessed? hours b. If the website is accessed at 1pm, calculate the probability that more than half an hour will elapse before the next user accesses the site. c. Given that a user accessed the website at 1pm for at least 2 hours, use the memoryless property to calculate the probability that at least 2.5 hours (from 1 pm) will elapse before the next user accesses the site