Answer to Question #120909 in Statistics and Probability for gwein Juspain

Question

In the Ministry of Roads and Highways, contracts for two constructions jobs are
randomly assigned to one or more of three rms namely, A;B and C. Suppose that X
is the number of contracts assigned to rm A and Y is the number of contracts assigned
to rm B. It is assume that each rm can receive 0; 1; or 2 contracts. Compute the
expected value of XY , i.e. E(XY ).

Answer 1

$E(XY)=\Sigma_{i=1}^3x_iy_iP(x_iy_i)$