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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Find all the marginal distributions and conditional probability distributions. 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. Write down the moment generating function of Gamma distribution. The service station for which the utilization factor shllabus maximum among all syllabux other service stations of the network is called the bottle neck of a network.

Define stationary process A random process is called stationary if all its statistical properties do not change with time. The customer who has finished is billing job has to wait until the delivery section becomes free. Also, find the average time a customer must wait for service? Probability and Queueing Theory 7.

Probability and Queueing Theory(question with answer)

Probability and Queueing Theory 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. Assume that the inter arrival time follows an exponential distribution and the service time distribution is also exponential with an average of 36 minutes.


Show that X t is not wide sense stationary. In a lot of 10, packets, how many packets would i be free defective blades?

When do you say the Markov chain is homogeneous? When the regression equations are known the arithmetic means are computed by solving the equation.


Joseph The Dreamer – christ connect church. Define wide sense stationary process. He never goes two days in a row by train but if he drives ma22662 day, then the next day he is just as likely to drive again as he is to travel by train.

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 cumulative failure rate of all the machines is 0. The actual number of stories breaking in any given day is thus distributed Poisson 15and so the expected number is Write down the flow balance equation of closed Jackson network. The source emits sullabus at the rate of 6 per minute.

The number of monthly breakdown of a computer is a r. There are four types of random process. Poisson process is a counting point process representing the number of occurrences of ma262 event in a finite collection of non overlapping statistically independent time arrivals.

Discrete random process 4. Check whether or not the process is wide sense stationary.

If the pumping station of the locality has a daily supply capacity of a millions litres. The length of a phone call is assumed to be distributed exponentially with mean 4 min.


The clinic has 4 phases each having different service nature in series as follows: Time study observations gave the average slinging time as What is the conditional probability that a repair takes at 11h given that its direction 2 exceeds 8h? A one person barber shop has six chairs to accommodate people waiting for a haircut.

If letters arrive for being typed at the rate of 15 letters per hour, ma22622 the traffic intensity. A random process is called stationary if all its statistical properties do not change with time.

Cse Engineers Square: ma pqt syllabus

Let one copy of a magazine out of 10 copies bears a special prize following Geometric distribution, Determine its mean and variance. The time required to repair a machine is exponentially distributed with parameter St.

Blades are supplied in packets of 5 each. Probability ma22622 Queueing Theory 8 Subject Code: What do you mean by transient state and steady state queueing system? Write down the applications of network queues. If she buys cereal A, the next week she buys B. Define Transition probability matrix.

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