On average, a car arrives at a local Starbucks drive through every 1.54 minutes. The process is believed to follow a Poisson distribution. What is the probability that exactly 39 cars arrive in 2 hour(s)? Hint: Be very careful when entering answers smaller than 0.0001. Pr{X=39} = (specify xx.yy% as 0.xxyy)

On average, a car arrives at a local Starbucks drive through every 1.54 minutes. The process is believed to follow a Poisson distribution. What is the probability that exactly 39 cars arrive in 2 hour(s)? Hint: Be very careful when entering answers smaller than 0.0001. Pr{X=39} = (specify xx.yy% as 0.xxyy)

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 27P

See similar textbooks

Similar questions

You have determined that waiting times at a toll booth are uniformly distributed over the interval 30 to 80 seconds. Your simulation generates the following random numbers. Complete the table with the waiting time associated with each random number. (Round your answers to the nearest whole number.) Random Number Waiting Time 0.49 0.23 0.74 3.
c. The probability that more than five cars arrive in any given hour
Please do not give solution in image format thanku
In a queueing system, customers arrive once every 4 seconds (standard deviation = 4) and services take 2 seconds (standard deviation = 4.3). (Do not round intermediate calculations. Round your answer to three decimal places.) What is the average time a customer will spend in the queue (in seconds)? seconds
Two methods are used to predict how many customers will call in for help in the next four days. The first method predicts the numbers of callers to be 49, 42, 46, and 50 for the four respective days. The second method predicts 48, 43, 47, and 49 for the four respective days. The actual numbers of callers turn out to be 50, 40, 45, and 48. Which method has the smaller mean absolute error (MAE)? O Both methods have the same MAE The second method. The first method O Cannot be determined
Suppose that a fire station receives an average of 24 requests for fire pumps every hour. Each request causes a fire pump to be busy for an average of 20 minutes. How many pumps must the fire department have to have at most a 1% chance that it will be unable to respond to a request?
In a queueing system, customers arrive once every 4 minutes (standard deviation = 7) and services take 3 minutes (standard deviation = 5.5). (Do not round intermediate calculations. Round your answer to three decimal places.) What is the average time a customer will spend in the queue (in minutes)? minutes
Larry Ellison starts a company that manufactures high-end custom leather bags. He hires two employees. Each employee only begins working on a bag when a customer order has been received and then she makes the bag from beginning to end. The average production time of a bag is 1.7 days, with a standard deviation of 3 days. Larry expects to receive one customer order per day on average. The interarrival times of orders have a coefficient of variation of one. X Answer Is complete but not entirely correct. (Carry at least 4 decimal places in all intermediate calculations. Round your final answer to 2 decimal places.) What is the expected duration, in days, between when an order is received and when production begins on the bag? 30.39 8 days
Let a queuing system have the Kendall model (M/M/1) : (GD/infinity/infinity). Assume A < µ. Does W, for the service discipline FIFO equal W, for the service discipline SIRO? O I have no idea. no yes It cannot be determined.
c1 need urgent in 15 minutes
8
48. Ships arrive at a port facility at an average rate of twoships every three days. On average, it takes a single crewone day to unload a ship. Assume that interarrival andservice times are exponential. The shipping companyowns the port facility as well as the ships using that facility. The companyestimates that it costs $1000 per dayfor each day that a ship spends in port. The crew servicing the ships consists of 100 workers, each of whom ispaid an average of $30 per day. A consultant has recommended that the shipping company hire an additional40 workers and split the employees into two equal-sizecrews of 70 each. This would give each crew an averageunloading or loading time of 1.5 days. Which crew arrangement would you recommend to the company?