QUESTION 1 Customers arrive at an ATM at a rate of 62 per hour (assume that...

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QUESTION 1 Customers arrive at an ATM at a rate of 62 per hour (assume that the arrival process can be described by a Poisson Distribution). The average time a customer spends at the machine (excluding wait time) is 34 seconds (assume exponential service time). What is the average number of customers waiting in line (round to 1 decimal)? QUESTION 2 Customers arrive at an ATM at a rate of 77 per hour (assume that the arrival process can be described by a Poisson Distribution). The average time a customer spends at the machine (excluding wait time) is 35 seconds (assume exponential service time). How long (in minutes, rounded to two decimals) should a customer who is on their way to the ATM expect to be there (i.e., from arrival at the queue until finishing their transaction)? QUESTION 3 Joe and Jill are selling fishing licenses in two separate booths located in different parts of the Edmonton Sportsmen Show. They expect to sell a total (between both of them) of 690 licenses over 20 hours (assume Poisson arrivals and that each of them will sell equal amounts). The average time needed to sell a fishing license is 1.1 minute (assume negative exponential service time). How many minutes per hour, on average, (rounded to two decimals) should Joe expect to be idle? QUESTION 4 One mechanic services 10 drilling machines for a steel plate manufacturer. Each machines goes an average of seven working days before breaking down, and breakdowns tend to follow a Poisson distribution. The mechanic can handle an average of one repair job per day. Repair times follow an exponential distribution. a. On average, how many drilling machines are waiting for service (in the queue)? (round to one decimal) b. On average, how many drilling machines are in running order? (round to one decimal) [ c. How much would wait time (in the queue) be reduced if a second mechanic were hired? (in days, rounded to one decimal) 10 points Save Answer QUESTION 1 Customers arrive at an ATM at a rate of 62 per hour (assume that the arrival process can be described by a Poisson Distribution). The average time a customer spends at the machine (excluding wait time) is 34 seconds (assume exponential service time). What is the average number of customers waiting in line (round to 1 decimal)? QUESTION 2 Customers arrive at an ATM at a rate of 77 per hour (assume that the arrival process can be described by a Poisson Distribution). The average time a customer spends at the machine (excluding wait time) is 35 seconds (assume exponential service time). How long (in minutes, rounded to two decimals) should a customer who is on their way to the ATM expect to be there (i.e., from arrival at the queue until finishing their transaction)? QUESTION 3 Joe and Jill are selling fishing licenses in two separate booths located in different parts of the Edmonton Sportsmen Show. They expect to sell a total (between both of them) of 690 licenses over 20 hours (assume Poisson arrivals and that each of them will sell equal amounts). The average time needed to sell a fishing license is 1.1 minute (assume negative exponential service time). How many minutes per hour, on average, (rounded to two decimals) should Joe expect to be idle? QUESTION 4 One mechanic services 10 drilling machines for a steel plate manufacturer. Each machines goes an average of seven working days before breaking down, and breakdowns tend to follow a Poisson distribution. The mechanic can handle an average of one repair job per day. Repair times follow an exponential distribution. a. On average, how many drilling machines are waiting for service (in the queue)? (round to one decimal) b. On average, how many drilling machines are in running order? (round to one decimal) [ c. How much would wait time (in the queue) be reduced if a second mechanic were hired? (in days, rounded to one decimal) 10 points Save Answer