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MadeEasy Test Series: Probability - Expectation

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Suppose X and Y are random variables such that
E(X) = 1, Var (X) = 1, E(Y) = 2, Var (Y) = 2, Cov (X, Y) = 1
By using above values the following expressions are evaluated
(i) E(X + 2Y) = p

(ii) E(XY ) = q
(iii) Var(X – 2Y + 1) = r
The value of pq + r is ___________.

What is the formulae for point (iii) ?

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