Which of the following statements are true or false. Give reasonsa

Question

Which of the following statements are true or false. Give reasons

a) $Q(x)= X_{1}^{2} - _{2}^{2}$ is the quadratic form of a positive definite matrix

b) In a bivariate normal distribution $N\: \: _{2} ( \mu_{x} ,\mu_{y} ,\sigma_{x} ,\sigma_{y} \int xy ) ,if \int xy =0$ then x and y are independent

c) The relation of accessibility in states is transitive.

d) For any pair of discrete random variables X and $y \sum P [y/y\mid X/x ] < 1.$

e) If {X (t) : t $\geq$ 0 } is a Poisson process, then $N (t)= X (t+a) - X(t)$ , where a is a constant is also a Poisson process.

07 Feb 2021

Answer :

Word Count : 489

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