Automobile engines and transmissions are produced on assembly lines, and are inspected for defects after they come off their assembly lines. Those with defects are repaired. Let X represent the number of engines, and Y the number of transmissions that require repairs in a one-hour time interval. The joint probability mass function of X and Y is as follows: P_x,y(x,y) {Ce^(-x/3)-(y/4) x=0,1,2; y =0,1,2                {0    otherwise  What is the value of C?

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