Suppose it is known from large amounts of historical data that x, the number of cars that arrive at a specific intersection during a 20-second time period, is characterized by the following discrete probability function: (f(x) = e⁻⁶ 6ˣ/x!) for (x = 0, 1, 2, ldots).
Find the probability that in a specific 20-second time period, more than 8 cars arrive at the intersection.
a) 0.042
b) 0.158
c) 0.005
d) 0.894