02 Roulette 11 Points Roulette is a game where a ball is spun into the wheel, and lands on a specific number. A standard roulette wheel has the numbers 1 through 36 on it, as well as a 0 and 00. One ofthe gamblers playing roulette brought to the attention of the manager that he thought the wheel was unfair, because out of 40 spins, 28 of them had landed on an odd number or 00' The following is a simulation of this scenario: Probabilityofheads: 0.5 l : 40 Number of tosses ' E] Summary Stats Number of repetitions: 1000 3 Animate 68 Draw Samples Total = 1000 3 Q Number of heads :9 Proportion of heads As extreme as 3 0.7 Count 0.23 0730 0738 0.45 0753 0760 O. 0775 0.82 Proportion of repetitions: \"07000 6/1000 = 0.0060 Proportion ofheads 60 02.1 Simulation 5 Points What is the purpose of running a simulation? Hint: Think about what it allows us to compare. Enter your answer here Save Answer 02.2 Probability of Heads 3 Points Why can we use coins to simulate a spin landing on an odd number or 00? Enter your answer here Save Answer 02.3 Applet Results 3 Points Is the observed proportion of 28 out of 40 spins landing on an odd number or 00 likely to happen due to random chance? How are you deciding? Enter your answer here Save