The attached graph illustrates the region. The centroid's coordinates are (5/3, 1). The centroid's coordinates are determined by averaging the coordinates of the area; Oₓ = (Aₓ+Bₓ+Cₓ)/3 = (0+1+4)/3 = 5/3 and O(y) = (A(y) + B(y) + C(y)) = (0+3+0)/3=3/3=1.
1) For the expected number in 200 restaurants where exactly 8 customers use the drive-through, it is 20.66. Similarly, for exactly 9 customers, the expected count is 13.76. To compute these expectations, we utilize the Poisson distribution which defines the success probability X, considering a certain operational rate for the drive-through services during specified times.
