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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If the power supplied to the factory is 12 million kilowatt hours, what is the probability that this power supply will be inadequate on any given day? Find the marginal density function.

Probability and Queueing Theory 8 Subject Code: Define First order stationary and Second order stationary process. MA Question Bank – Solutions: Write down the flow balance equation of closed Jackson network.

Find a The mean number of stories of any of these types in each day. What is the probability that it zyllabus last for atleast one more minute?

## Probability and Queueing Theory(question with answer)

Find the probability that 11 particles are counted in 4 minutes. Show that X t is not wide sense stationary.

Check whether it is regular. Find the rth moment ysllabus X about the 2 origin. The basic characteristics of queueing system are Arrival time pattern, Service time pattern, Number of services channels, Capacity of the system, Service discipline. Show that the process is not stationary. Find the Marginal probability densty of X. Write the Physical conditions of Binomial distribution.

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. What is the probability that the average life time of a random sample of the appliances is atleast Joseph The Dreamer – christ connect church.

When the regression equations are known the arithmetic means are computed na2262 solving the equation. In series queuesthere are a series of service stations through which each calling unit must progress prior to leaving the system.

She never buy the same cereal in successive weeks.

### PQT (MA) – Computer Science Engineering ()

Assuming that the system behavior may be approximated by the two-stage tandem queue, determine the average repair time. What are the properties of Poisson process? System independent of time t. Documents Flashcards Grammar checker.

### MA syllabus || probability and queueing theory syllabus || PQT syllabus

In steady state the arrival rate and departure rate at the respective nodes coincide. Find i The proportion of customers who enter the supermarket. Find a the mean life time of the component b the probability that such a component will be more than hours. Examination time per patient is exponential with a mean rate of ka2262 per hour.

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Probability and Queueing Theory Subject Code: When do you say the Markov chain is regular? What is the probability that this water supply will be inadequate on any given day? A regular Markov chain is defined as a chain having a transition matrix P such that for some power of P, it has only non-zero positive probability values.

Time study observations gave the average slinging time as