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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What are the applications of Weibull distribution? She never buy the same cereal in successive weeks. What is the probability that at least 5 components are sylkabus be examined in order to get 3 defectives? Examination time per patient is exponential with a mean rate of 20 per hour.

Find the probability that he takes a train on the third day. Out of the 2 salesman, one is incharge of billing and receiving payment sylalbus other salesman is incharge of weighing and delivering the items. Show that the process is not stationary.

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Assuming that the system maa2262 can be approximated by a 2 stage tandem queue find the probability that the service stations are idle. The number of monthly breakdown of a computer is a r. Blades are supplied in packets of 5 each. Probability and Queueing Theory Subject Code: Define closed Jackson networks. A random sample of 8 lamps is taken for inspection. MA Question Mw2262 – Solutions: Define Markov process A random process in which the future value depends only on the present value but not on the past value is called Markov process.

In a certain locality the daily consumption of water in millions of litres, can be treated as a random variable having a gamma distribution with an average of 3 million litres. If customers arrive at the barber shop in a Poisson fashion at an average rate of one every 40 minutes, how mz2262 on the average a customer in the spends in the shop.

The length of a phone call is assumed to be distributed exponentially with mean 4 min. The actual number of stories breaking in any given day is syllabjs distributed Poisson 15and so the expected number is Find a The mean number of stories of any of these types in each day. If the average service time is cut to 8.

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Write down the moment generating function of Gamma distribution. Find the probability that among a sample of jobs there are no jobs that have to wait until weekends.

The waiting room does not accommodate more than 14 patients. There are four types of random process. What do you mean by traffic intensity? Also find the probability that he drives to work in the long run.

## Probability and Queueing Theory(question with answer)

Assume that the inter arrival time follows an exponential distribution and the service time distribution is also exponential with an average of 36 minutes. The town has a daily stock of 35, litres.

Define stationary process A random process is called stationary if all its statistical properties do not change with time. Write down the flow balance equation of open Jackson network.

Arriving customers have to join the queue if No. It is vivid from the expressions of moments of poisson process that they are time dependent. Probability and Queueing Theory 3 1 Subject Code: If the arrivals of the patients at the clinic syllabhs approximately Poisson at the average rate of 3 per hour, what is the average time spent by a patient i in the examination ii waiting in the clinic?

When the regression equations are known the arithmetic means are computed mz2262 solving the equation.

Joseph had a little overcoat. What are the different types of Random process.

A random process is called stationary if all its statistical properties do not change with time.