Answer to Question #4411 in Statistics and Probability for miya
= E(X)*E(Y) + COV(X,Y).
As X and Y are independent, then COV(X,Y) = 0
E(XY) = E(X)*E(Y)
Let's use the property: if a random variable Z has a
uniform distribution on [a, b], then E(Z) = (a + b) / 2.
So, E(X) = 1/2 and
E(Y) = 7.
Consequently, E(S) = E(XY) = 7/2 = 3.5
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