2. Consider the frog jumping jamboree. Simulate at least 500 individual competitions to determine the smallest diameter of the arena which will contain on average at least 95% of the frog contestants during their three-jump sprint. Based on research, the frogs' first jump is uniformly distributed with a distance evenly distributed between 3 and 10 feet; their second jump is normally distributed with a mean of 6 feet and a standard deviation of 4 feet; and their third jump has a triangular distribution between 2 and 11 feet with a mode of 4 feet. Organize your spreadsheet model in one worksheet. Create a chart showing the path of a sample contestant and another chart showing the path of all the contestants. Remember the frogs jump randomly with each jump in any direction. The average contestant ends up about ten feet from the start. Does this verify your model? The current arena has a 18-foot radius. Is this sufficient? For your design what is the radius that contains 95% of the contestants? Document all your assumptions and justify.