KERALA UNIVERSITY Class 4 probability random processes and numerical techniques Question Paper 2020

Practice authentic previous year questions for better exam preparation.

Sample Questions

(a) If the auto correlation function of a WSS process is $R(\tau)=\rho e^{-\rho|\tau| e>0}$ Find the Powerspectral density.
(b) If the customers arrive at a counter in accordance with Poisson Process with mean rate of 2 per minutes. Find the probability that the interval between 2 consecutive arrivals is
The autocorrelation function of a stationary process $\{(X(t))\}$ is given by $R(\tau)=\frac{25 \tau^{2}+36}{6.25 \tau^{2}+4}$ find mean and variance of the process $\{(X(t))\}$.
(b) Using Lagrange's interpolation formula find the value of $y$ when $x=10$ for the following table | X | 5 | 6 | 9 | 11 | | :--- | :---: | :---: | :---: | :--- | | Y | 12 | 13 | 14 | 16 |
(i) Trapezoidal rule (ii) Simpson's rule with 6 equal intervals. OR