Problem 11-19 (Algorithmle) All aimplane passengers at the Lake Cty Regional Airport must pass through a security screening area before proceeding to the boarding area. The airport has three screening stations avallable, and the facility manager must dedde how many to have open at any particular time. The service rate for processing passengers at each screening station is 3 passengers per mimate. On Monday moming the arrival rate is 5.6 passengers per minute. Assume that processing times at each sereening station follow an exponential distribution and that arrivals follow a poisson distribution. When the security level is raised to high, the service rate for processing passengers is reduced to 2 passengers per minute at each screening station. Suppose the secunty level is raised to high on Mondoy morning. Note: Use Po values from Table 11.4 to answer the questions below. a. The facility manager's goal is to lomit the average number of passengers waiting in line to 9 or fewer. How many sereening stations must be open in order to satisfy the manager's goal? Having stabon(s) open satisfies the manager's goal to limit the average number of passengers in the waiting line to at most 9. b. What is the average time required for a passenger to pass through security screening? Round your answer to two decimal places. W=Xminutes X minves