KERALA UNIVERSITY Class 4 engineering mathematics probability and random process Question Paper 2020

Practice authentic previous year questions for better exam preparation.

Sample Questions

Prove that the Poisson process is a Markov process. P.T.O. PART - B Answer one full questions from each Module. Each question carries 20 marks.
(a) Data was collected over a period of 10 years showing number of deaths from horse kicks in each of the 200 army corps. The distribution of deaths was as follows : No. of deaths : $\begin{array}{lllll}0 & 1 & 2 & 3 & 4 \\ \text { Total }\end{array...
(b) The probability function of an infinite discrete distribution is given by $P(X=j)=\frac{1}{2^{j}},(j=1,2, \ldots, \infty)$. Verify that the total probability is 1 and find the mean and variance of the distribution. Also find $P(X \leq 5)$.
(a) (i) A target is to be destroyed in a bombing exercise. There is $75 \%$ chance that any one bomb will strike the target. Assume that two direct hits are required to destroy the target completely. How many bombs must be dropped in order that the c...
(b) If the density function of a continuous random variable X is given by $f(x)=\left\{\begin{array}{cc}a x, & 0 \leq x \leq 1, \\ a, & 1 \leq x \leq 2 \\ 3 a-a x, & 2 \leq x \leq 3 \\ 0, & \text { elsehwere }\end{array}\right.$