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

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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}{ll...
(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...
(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. ...
(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 { el...