The state lottery board is examining the machine that randomly picks the lottery numbers. On each trial, the machine outputs a ball with one I the digits 0 through 9 on it. (The ball is then replaced in the machine.) The lottery board tested the machine for 100 trials and got the followin- results. Outcome 0 1 2 3 Number of Trials 11 7 8 11 Answer the following. Round your answers to the nearest thousandths. (a) From these results, compute the experimental probability of getting a 2. lxo'? III (b) Assuming that the machine is fair, compute the theoretical probability of getting a 2. I] (c) Assuming that the machine is fair, choose the statement below that is true. 0 As the number of trials increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. 0 As the number of trials increases, we expect the experimental and theoretical probabilities to become farther apart. O The experimental and theoretical probabilities must always be equal