Two probability distributions showing the P(X) for a different number of simulations are shown below. Distribution 1 where n 20 Frequency +0.3 0.25 0.2 0.15 0.1 0.05 1 2 3 4 5 Distribution 2 where n = 61 Frequency 0.5 0.4 0.3 0.2 0.1 X + 00 9 10 11 12 a 1 2 3 4 5 6 7 8 9 10 11 12 X (a) Which distribution is most likely closer to the theoretical probability of X? Distribution 2 because the number of simulations is larger Distribution 2 because the number of simulations is smaller Distribution 1 because the number of simulations is larger Distribution 1 because the number of simulations is smaller (b) What is P(X 8) for each distribution? Distribution 1: P(X = 8) = Distribution 2: P(X = 8) =