1.(a) A random variable, X, is defined as ‘the absolute difference and sum of Numbers appearing when two fair dice are tossed’. Construct the Probability distribution of the random variable, X for (i)sum  (ii)difference  of the above random variable. Outline a clear cut analysis of these two components with respect to the given random variable.

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Chapter1: Combinatorial Analysis
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1.(a) A random variable, X, is defined as ‘the absolute difference and
sum of Numbers appearing when two fair dice are tossed’.
Construct the Probability distribution of the random variable, X for
(i)sum 
(ii)difference 
of the above random variable.
Outline a clear cut analysis of these two components with respect to the
given random variable.


(b)A random variable is defined as 172⁄(3?+1); ?= 0 ,1,2,3,4,5,6. Construct the PDF of X, and comment analytically on
the variability of the given computed var(X).

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