There is only one copying machine in the student lounge of the business school. Students arrive at the rate of lambda equals 50 per hour (according to a Poisson distribution). Copying takes an average of 50 seconds, or equals 72 per hour (according to a negative exponential distribution). a) The percentage of time the machine is used = 69.44 percent (round your response to the nearest whole number). b) The average length of the queue = 1.58 students (round your response to two decimal places). c) The average number of students in the system = nothing students (round your response to two decimal places).