Answer :

Given; Random variable X can take only the values 0, 1, 2,


3.


P(X=0) = P(X=1) = p and P(X=2) = P(X=3) = q and


P(X=0) + P(X=1) + P(X=2) + P(X=3) = 1


2p + 2q = 1 ……(i)



0 + p + 4q + 9q = 2(0 + p + 2q + 3q)


p − 3q = 0 ……(ii)


From (i) and (ii)



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