3. (12 pts total) A tour company must plan the size of a new waiting area - to be defined as both the number of chairs and the square footage required. Groups of customers arrive to a waiting area at a rate of 18 groups every 30 minutes following a Poisson distribution. 50% of groups that arrive are a single customer and 50% of groups that arrive are a group of 2 customers. Every 30 minutes, an attendant takes all customers that are waiting to the tour. For every customer that has arrived, there must be 1 chair, and a total of 16 square feet of waiting room space. a. (8 pts) Compute the best estimate for the size of the new waiting area using the mean of each distribution in your calculation. b. (4 pts) The owner says it is not acceptable to have fewer chairs than customers waiting ever. If you were to use Crystal Ball to do a Monte Carlo simulation of this problem, how would you use the output from Crystal Ball to make a recommendation on the size of the waiting area (i.e. What statistics would you use to support your recommendation)