While playing a board game, Vy noticed that the die landed on the number 1 more often than usual. Part A: Describe a simulation that could be run to test how many times out of 100 a fair die should land on the number 1. State the representations and possible outcomes. Be sure to give enough detail that another person could replicate your simulation. (7 points) Part B: While running a simulation, the die landed on the number 1 a total of 26 times out of the 100 rolls. Construct and interpret a 95% confidence interval for the true proportion of rolls that will land on the number 1. Show all work. (7 points) Part C: Does the confidence interval in part B support Vy's suspicions that the die is not fair? Explain your reasoning. (6 points)