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(a) Let (X, Y) be a bivariate random variable. For each of the following statements, state without proof whether the statement is true or false: (i) The distribution of (X, Y) is either discrete or continuous. [1 mark] (ii) If X has a continuous distribution and Y has a continuous distribution then (X,Y) has a continuous distribution. [1 mark] (iii) If X has a discrete distribution and Y has a discrete distribution then (X,Y)T has a discrete distribution.. [1 mark]

(a) Let (X, Y) be a bivariate random variable. For each of the following statements, state without proof whether the statement is true or false: (i) The distribution of (X, Y) is either discrete or continuous. [1 mark] (ii) If X has a continuous distribution and Y has a continuous distribution then (X,Y) has a continuous distribution. [1 mark] (iii) If X has a discrete distribution and Y has a discrete distribution then (X,Y)T has a discrete distribution.. [1 mark]

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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(a) Let (X, Y) be a bivariate random variable. For each of the following statements, state without proof whether the statement is true or false: (i) The distribution of (X, Y) is either discrete or continuous. [1 mark] (ii) If X has a continuous distribution and Y has a continuous distribution then (X,Y) has a continuous distribution. [1 mark] (iii) If X has a discrete distribution and Y has a discrete distribution then (X,Y)T has a discrete distribution.. [1 mark]
Transcribed Image Text:(a) Let (X, Y) be a bivariate random variable. For each of the following statements, state without proof whether the statement is true or false: (i) The distribution of (X, Y) is either discrete or continuous. [1 mark] (ii) If X has a continuous distribution and Y has a continuous distribution then (X,Y) has a continuous distribution. [1 mark] (iii) If X has a discrete distribution and Y has a discrete distribution then (X,Y)T has a discrete distribution.. [1 mark]
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