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

Practice authentic previous year questions for better exam preparation.

Sample Questions

Find the value of K if $f(x)=k(2-x), 0<x<2$ is a probability density function of a random variable.
A random variable has uniform distribution over $(-3,3)$. Compute (a) $P[X<2]$
A random variable has uniform distribution over $(-3,3)$. Compute (b) $P[|X|<2]$.
If $X(t)$ is a WSS process with $E(X(t))=2$ and $R(\tau)=4+e^{-\frac{|\tau|}{10}}$ find the mean of $S=\int_{0}^{1} X(t) d x$.
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 $\{(X(t))\}$.