Let X and Y be two independent Poisson variates with rate 5 and 10, respectively, then the E(XY = 2) is equal to:
5
For independent Poisson variables, the expectation of the product is given by the product of their individual expectations. Therefore, E(XY) = E(X) * E(Y) = 5 * 10 = 50. However, the specific query asks for E(XY=2), which simply equals 2 based on the given context.
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