Random process is a function of time and the outcomes of a random experiment. There are four types of random process. Define i Continuous time random process 2 Discrete random process. In Continuous random process, X and Time set T are continuous. The maximum temperature of a place at 0,t. In discrete random process, X is.

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If A and B are independent events, prove that A and B are also independent events. Find the cumulative distribution function F x corresponding to the 1 1 p.

The joint p. State the central limit theorem for independent and identically distributed random variables. Show that if a random process X t is wide sense stationary, then it must also be covariance stationary. Find the stationary probabilities of the chain.

Establish the relation between hazard function and reliability function. Find the probability that an arriving customer is forced to join the queue. F n t is the n—fold convolution of F t with itself.

Two balls are drawn successively from the box without replacement and it is noted that the second one is white. What is the probability that the first is also white?

Find the p. Determine the moment Generating function of X and hence find variance of X. X Find the p. If so, what is the period? Find the average number of customer L S , the average waiting time a customer spends in the shop WS and the average time a customer spends in the waiting for service Wq. The arrival rate and the service rate follow Poisson distribution. The number of parking space for cars is only 4.

Find 1 L S the mean number of cars in the system 2 WS , the mean waiting time in the system. Learn more about Scribd Membership Home. Much more than documents. Discover everything Scribd has to offer, including books and audiobooks from major publishers.

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Krueger - Markov Equilibria in Macroeconomics Jump to Page. Search inside document. Describe Bernoulli process. Or b i Determine the binomial distribution for which the mean is 4 and the variance 3. Or b i Cars arrive at a derive—in restaurant with mean arrival rate of 24 cars per hour and the service rate of the cars is 20 cars per hour. Jaganathan K. June Lee. Arkadeep Mukherjee. Tianyu Sun. Paul Jacob. Charlie Dhanaraj. Maos Wu. Praveen Pallav. NorRizan AbuOsman.

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PQT - Model Question Paper

If 3 students are taken at random from this set Find the probability that exactly 2 of them will have marks over 70? Two balls are drawn at random from the bag and they are noted to be white. What is the change that all balls in the bag are white? Find the percentage of students who have got first class and second class. Assume normal distribution of marks.


Probability and Queueing Theory - MA8402, MA6453



MA8402 Question Bank Probability And Queuing Theory Regulation 2017 Anna University


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