Question #7 has already been answered, please answer the rest :)

Q7 to Q10 are based on this problem. machine, with each person using it for an average of eight minutes. Assume the interarrival times and copying times are exponentially What is the probability that a person arriving to use the machine will find it idle? A. 0.3333 B. 0.6666 C. 0.7777 D. 0.2222 Question 8 On average, how many people will be waiting to use the copy machine? A. 1.333 B. 0.333 C. 0.666 Question 9 Suppose that the people who use the copy machine are paid an average of $9 per hour. On average, how much does the company spend on wages during each eight-hour day paying the people who are using or waiting to use the copay machine? A. $144 B. $68 C. $12 D. Question 10 If the company can lease another copying machine for $45 per day, should they do it? and why? A. Yes, the second machine can save daily wage wasted by $90 B. Yes, the second machine can save daily wage wasted by $60 C. No, the second machine only save daily wage wasted by $40 b. No, the second machine only save daily wage wasted by $70 Show transcribed data Expert Answer Step-by-step Step 1/2 The steps to be followed : Determine arrival rate Determine service rate Ensure, service rate > arrival rate Determine, probability that server will be busy Subsequently determine that server is idle =1 - probability that server is busy Calculation : Arrival rate =a=5 per hour Service rate ( utilization average 8 minutes) =s=60/8=7.5 per hour Probability that the server is busy =a/s=5/7.5 Hence, probability that the machine is idle =1a/s=15/7.5=(7.55)/7.5=2.5/7.5=0.3333 Final answer Final answer : Probability that the person arriving to use the machine will find it idle = Option A. 0.3333