A company wants to compare the efficiency of two types of fuel for a car. 5 identical cars will be driven 500 kilometers each, two with the first type of fuel and three with the second type. Let X1 and X2 be the observed fuel efficiency for the first type and Y1, Y2, and Y3 be the efficiency for the second type. Suppose these variables are independent and XiN(20,4) for i=1,2 and YjN(18,9) for j=1,2,3. Define a new random variable: W=(X1+X2)/2(Y1+Y2+Y3)/3.

Find . P(W0). Round answer to four decimal places.