Question #1 A fortune telling machine is located at the front entrance to a local movie theatre. Several times per hour the machine gives away free movie tickets and popcorn vouchers. Fortunes are "told at a constant rate of 4 per minute. Customer arrivals are Poisson distributed at a rate of 100 per hour. Determine each of the following. average # units/people in the system average time spent in the system length of the line average time spent in queue utilization probability of zero units in the system A pawn shop owner needs to have a better idea of the traffic pattern in her shop. It is estimated that customers arrive at an average rate of 6 per hour, and follows a Poisson distribution. Service time is assumed to be exponentially distributed with an average service time of 5.45 minutes per customer. Determine each of the following average # units/people in the system average time spent in the system length of the line average time spent in queue utilization probability of zero units in the system