Anna University, Chennai Department of Computer Science Engineering ( Common to I.T) Fourth Semester MA Probability and Queueing. Subject Code: MA Subject Name: Probability and Queuing Theory Type: Question Bank Edition Details: Kings Edition Syllabus. MA — PROBABILITY AND QUEUEING THEORY (Regulation ). ( Common to Information Technology) Time: Three hours Answer ALL Questions PART.

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So, P is irreducible. Define First order stationary and Second order stationary process. Service time distribution follows Poisson distribution.

If jobs arrive at a rate of 5 per hour and the time to complete each job varies according to an exponential distribution with mean 6 syllabis. The doctor takes on the average 4 minutes for each phase of the check up and the time taken for each phase is exponentially distributed. The source emits particles at the rate of 6 per minute. The number of monthly breakdown sylllabus a computer is a r. The town has a daily stock of 35, litres.

Find the marginal density function. The actual number of stories breaking in any given day is thus distributed Poisson 15 sylalbus, and so the expected number is Given that B is a R. Calculate the probability syllqbus the yard is empty.

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A random process is said to be stationary to order one if the first order density functions defined for all the random variables of the process are same. The customers may enter the system at some node, can traverse from node to node in the system and finally can leave the system from any node.

Define Birth and Death process.

MA Question Bank – Variance npq 1. The length of the shower in a tropical island in a rainy season has an exponential distribution with parameter 2, time being measured in minutes. Define i Continuous time random process 2 Discrete random process.

Probability and Queueing Theory(question with answer)

When the regression equations are known the arithmetic means are computed by solving the equation. Assume that the inter arrival time follows an exponential distribution and the service time distribution is also exponential with an average of 36 minutes. A physical examination for a patient where the patient St. Also customers can return to the nodes already visited.

The service time is not following exponential distribution.


V with mean 0 and 1 i. Find the probability that on a randomly selected day. Time study observations gave the average slinging time as Assuming that the system behavior can be approximated by a 2 stage tandem queue find the probability that the service stations are idle. System depends on time t, Steady state: Find the probability that among a sample of jobs there are no jobs that have to wait until weekends.


Non Markovian queueing model: What is the conditional probability that a repair takes at 11h given that its direction 2 exceeds 8h? If the average service time is cut to 8.

Probability and Queueing Theory(question with answer)

Telecommunication field, Bioinformatics, biomedical Industry. Probability and Queueing Theory Subject Code: November 19, 0. It was old and worn. Customers spend an average of 15 min.


Because of space constraints, only 4 cars are accepted for servicing. Let M be the number of customers arriving in the system during service time T.

A one person barber shop has six chairs to accommodate people waiting for a haircut. Joseph had a little overcoat. If the pumping station of the locality has a daily supply capacity of a millions litres. Show that X t is not wide sense stationary. Define open Jackson networks. So he made a. Arriving customers have to join the queue if No.