At a customer call center, each call center employee has customer complaints coming in at an average of 2 per hour. We observe the activities of the employees at the call center for a period of 45 minutes. Calls are randomly assigned to employees, so that the employees' activities are independent of each other. i. What is the expected value and standard deviation of of the above Poisson distribution?

ii. What is the probability that an employee receives no new calls during this 45- minute period?

iii. A computer lab has an average of 5 students per hour. Find the probability that there will be exactly 12 students in the lab for the next 2 hours.