MA6451 Important Questions Probability and Random Processes
MA6451 Important Questions Probability and Random Processes regulation 2013 Anna University free download. Probability and Random Processes Important Questions free download.
Sample MA6451 Important Questions:
1. Discuss the pure birth process and hence obtain its probabilities, mean and
variance.
2. At the receiver of an AM radio, the received signal contains a cosine carrier
signal at the carrier frequency with a random phase that is uniform distributed
over ( 0,2). The received carrier signal is X (t) = A cos(t + ). Show that the
process is second order stationary. Find out the 3rd step transition probability matrix. Determine the limiting probabilities.
3. Given a random variable with density f () and another random variable
uniformly distributed in (-, ) and independent of and X (t) = a cos (t + ),
Prove that { X (t)} is a WSS Process.
4.A man either drives a car or catches a train to go to office each day. He never
goes 2 days in a row by train but if he drives one day, then the next day he is just
as likely to drive again as he is to travel by train. Now suppose that on the first
day of the week, the man tossed a fair die and drove to work iff a 6 appeared.
Find (1) the probability that he takes a train on the 3rd day. (2) the probability that
he drives to work in the long run.
5.Show that the process X (t) = A cost + B sin t (where A and B are random
variables) is wide sense stationary, if (1) E (A ) = E(B) = 0 (2) E(A2) = E (B2 ) and
E(AB) = 0.
6.Find probability distribution of Poisson process.
7.Prove that sum of two Poisson processes is again a Poisson process.
8.Write classifications of random processes with example.
| Subject Name | Probability and Random Processes |
| Subject Code | MA6451 |
| Regulation | 2013 |
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