Question 6 (2 points) FestEvents is a concert organizer that is evaluating the installation of portable...

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Question 6 (2 points) FestEvents is a concert organizer that is evaluating the installation of portable toilets at an outdoor venue where a concert is going to take place. In particular, it is considering an area of the venue that is far away from the existing restrooms. Assume there will be one single queue to access all the portable toilets in this area and that only one person uses a toilet at a time. FestEvents is concerned that if the line is too long, people will find other ways and places to answer nature's call. FestEvents estimates that there will be 4 arrivals per minute on average to the toilets, with a standard deviation of the time between arrivals of 15 seconds. The average time a person spends using the toilet is 2.92 minutes with a standard deviation of 2 minutes. What is the minimum number of portable toilets that FestEvents must install to ensure that the queue length will not continue to grow without limit (i.e., so that the queue will be stable)? (Please write your numeric answer as an integer) Question 7 (2 points) The demand at a car assembly plant is 240,000 vehicles per year. Assume the plant operates 24 hours/day, for 350 days every year. The total time required (T) for assembling a single car is 3 hours. What's the theoretical minimum number of workstations required in this assembly plant? Your Answer: Question 9 (2 points) Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take, on average, 12 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. How much time, on average, does a student spend waiting in line? 24 minutes 45 minutes 15 minutes 30 minutes 48 minutes Question 6 (2 points) FestEvents is a concert organizer that is evaluating the installation of portable toilets at an outdoor venue where a concert is going to take place. In particular, it is considering an area of the venue that is far away from the existing restrooms. Assume there will be one single queue to access all the portable toilets in this area and that only one person uses a toilet at a time. FestEvents is concerned that if the line is too long, people will find other ways and places to answer nature's call. FestEvents estimates that there will be 4 arrivals per minute on average to the toilets, with a standard deviation of the time between arrivals of 15 seconds. The average time a person spends using the toilet is 2.92 minutes with a standard deviation of 2 minutes. What is the minimum number of portable toilets that FestEvents must install to ensure that the queue length will not continue to grow without limit (i.e., so that the queue will be stable)? (Please write your numeric answer as an integer) Question 7 (2 points) The demand at a car assembly plant is 240,000 vehicles per year. Assume the plant operates 24 hours/day, for 350 days every year. The total time required (T) for assembling a single car is 3 hours. What's the theoretical minimum number of workstations required in this assembly plant? Your Answer: Question 9 (2 points) Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take, on average, 12 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. How much time, on average, does a student spend waiting in line? 24 minutes 45 minutes 15 minutes 30 minutes 48 minutes