Probability of having no customer in the queue = (1-lambda/mue) = (1-9.68/ 5.99)=0.616
Probability of having customers in the queue =1-0.616 =0.384
So the answer is =0384
Please show work Question 3 0 out of 10 poin Consider an M/M/T system with Lambda...
Please Show work QUESTION 8 1. Consider an M/M/2 with lambda equals 2.28, lambda equal to mu. What is the expected time in queue?
Probability & Statistics Review: Please write out your solutions. It is much appreciated. Consider a queueing system whose arrival rate is 3/hr and service rate is 5/hr. If the average number of entities in the system is 5, (10 points) 4. (a) Find the average waiting time. (b) Find the average waiting time in the queue. (c) Find the average number of entities in the queue
Problem 8: 10 points Consider a queuing system M/M/1 with one server. Customer arrivals form a Poisson process with the intensity A 15 per hour. Service times are exponentially distributed with the expectation3 minutes Assume that the number of customers at t-0, has the stationary distribution. 1. Find the average queue length, (L) 2. What is the expected waiting time, (W), for a customer? 3. Determine the expected number of customers that have completed their services within the 8-hour shift
Question 1 Simulate the operation of a first-in-first-out queuing system until time TE = 30 minutes, using the interarrival and service-times given below (in minutes) in the given order. Interarrival times: 4, 3, 1, 1, 5, 7, 10 Service times: 4, 4, 6, 9, 8, 7, 4, 6 Given that the first arrival occurs at time t = 0, create a record of hand simulation (on the table given in the last page) using the event-scheduling algorithm and compute the...
****Please show step-by-step, work, and explanation to better grasp and learn the concept. M/M/2 Mean Arrival Rate: 20 customers/hour Mean Service Rate: 12 customers/hour Number of Servers: 2 Server wage $10/hour Customer waiting cost $20/hour Probability of zero customers in system: 0.280 According to the information provided in the table, on average, how many customers are in the line?
Consider a M/M/1/2 queue with λ-4 packets/sec and μ-10 packets/sec. <a> Formulate the Markov Chain for the queue. [1 pt] <b> Write the balance equations for the queue. [2 pt] <c> Using the equations in <b>, find the values of P(0), P(l)& P(2). [3 pt] <d> Compute the loss probability. [1 pt] <e> Compute the average population in the system N. [2 pt] Φ Compute the average total delay in the system .[2 pt] Note: You should derive all equations...
Please help with 5,6,7, please show your work as well! 10 out of 10 points Question 1 A population has a mean of 60 and a standard deviation of 30. Samples of size 16 are randomly selected. Calculate the standard deviation of the sample distribution of X. Round off to 3 decimal places. 15 out of 15 points Question 2 Samples of size 16 are drawn from a population. The sampling distribution for X has a standard deviation of 0.25....
please show all your work clearly Expert Q&A Done mu 3 R utath eomne on 0 Please show all your work Expert Q&A Done mu 3 R utath eomne on 0 Please show all your work
Question 3 (35 marks) Consider a mechanical system shown in Figure 3. The system is at rest for t<0. The input force f is applied at 0. The displacement x is the output of the system and is measured from the equilibrium position. kI b2 bi it Figure 3. Schematic of a mechanical system. (a) Obtain the traf) (10 marks) X (s) F(s) (b) Use of force-voltage analogy, obtain the equations for an electrical system (5 marks) (c) Draw a...
Consider a simple queuing system in which customers arrive randomly such that the time between successive arrivals is exponentially distributed with a rate parameter l = 2.8 per minute. The service time, that is the time it takes to serve each customer is also Exponentially distributed with a rate parameter m = 3 per minute. Create a Matlab simulation to model the above queuing system by randomly sampling time between arrivals and service times from the Exponential Distribution. If a...