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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Each emitted particle has a probability of 0. So he made a. Wyllabus discrete random process, X is Ms2262 discrete random process, X is discrete and the time set is continuous.

A random process or Stochastic process X s,t is a function that maps each element of a sample space into a time function called sample function.

What is the probability that at least 5 components are to be examined in order to get 3 defectives? Prove that the sum of two independent Poisson process is a Poisson process.

This is a multiple server model with finite capacity. The number of monthly breakdown of a computer is a r.

Also find the probability that he drives to work in the long run. If letters arrive for being typed at the rate of 15 letters per hour, find the traffic intensity.

Find the probability that i no one joins syllwbus queue in a particular minute ii 2 or more persons join the queue in the minute. So, P is irreducible. MA Question Bank – Find the average response time for a two-stage tandem open network with feedback. There are four types of random process 1.

Examination time per patient is exponential with a mean rate of 20 per hour. Construct the Transition Probability Matrix. The parking lot is large enough to accommodate any number of cars. V with mean 0 and 1 i. In series queuesthere are a series of service stations through which each calling unit must progress prior to leaving the system. System independent of time t. MA Question Bank – 10 customers in the system.

Write down the flow balance equation of open Ka2262 network. Find the probability that this computer will function for a month with only one breakdown.

### MA Probability and Queuing Theory – Question Bank Kings Edition

Each typist can type an average of 6 letters per hour. What are the properties of Poisson process? Customers spend an average of 15 min. syllagus

If letters arrive for being typed at the rate of 15 letters per hour, a What fraction of the time all the typists will be busy? Arrivals from outside through node i follow a Poisson process with mean arrival rate ri.

The m2262 time is constant. Define Chapman-Kolmogrov Equation The Chapman-Kolmogrov equation provides a method to compute the n-step transition probabilities. What is the probability that the average life time of a random sample of the appliances is atleast Define Birth and Death process.

If the pumping syllabuw of the locality has a daily supply capacity of a millions litres. 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. It is given that X be the daily water consumption of the locality in million syllwbus and X follows gamma distribution with average of 3 million litres.

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What do you mean by traffic intensity? Define open Jackson networks. Define random process and its classification Random process is a function of time and the outcomes of a random experiment. In Continuous random process, X and Time set T are continuous. What are the differences between Markovian and non Markovian queueing model? Define wide sense stationary process.

### Probability and Queueing Theory(question with answer)

The basic characteristics of queueing system are Arrival syloabus pattern, Service time pattern, Number of services channels, Capacity of the system, Service discipline. What is the average calling rate for the services of the crane and what is the average delay in getting service? The source emits particles at the rate of 6 per minute.

syllaus Joseph had a little overcoat. A man either drives a car or catches a train to go to office each day. What are the applications of Weibull distribution?

Out of the 2 salesman, one is incharge of billing and receiving payment while other salesman is incharge of weighing and delivering the items. The service station for which the utilization factor is maximum among all the other service stations of the network is called the bottle neck of a network. Find a The mean number of stories of any of these types in each day.

The customer who has finished is billing job has to wait until the delivery section becomes free.

Number of telephone calls in 0,t. Let X be the power consumption in millions of kilowatt hours.