Agents at an insurance company office in a small town process an average of fifteen auto insurance claims per week. Assuming that the number of claims per week is a Poisson random variable.
a. What is the probability that agents will process exactly 11 claims this week?
b. What is the probability that agents will process fewer than 25 claims in the next TWO weeks?
c. What are the expected value and standard deviation of the number of claims processed in a FOUR week period?