Problem 1: Recall the data file fatal accidents. cau that contains a record of each fatal accident in Virginia and surrounding states in 2016. Each record details the number of vehicles involved, the total number of people involved in each accident, and timing information for each fatal accident. The day of the week begins with 1 for Sunday. 1.1 Create a boxplot of the number of people involved in an accident in each state with the mean represented as a red x. 1.2 What observations can you draw regarding the center, spread, and shape of each distribu- tion? 1.3 Explain why the mean is influenced more by outliers in the District of Columbia than in North Carolina. Recall the plot or table of the number of fatal accidents in each state created on prior assignments. 1.4 Modify the graphic created in part 1.1 such that the boxplots are displayed horizontally with person count shown along the x-axis. 1.5 Which of the graphics created in parts 1.1 and 1.4 do you prefer to display the distribution information? Explain. 1.6 Recreate the following graphic that uses the fatal accidents in Virginia. Both curves are usual statistical distributions that use sample statistics for parameters where appropriate. Person Count Distribution, Observed and Theoretical 0.5- 0.4- 0.3 Density of values 0.2 0.1 - 0.0 - 10 15 Person Count in Fatal Accident 1.7 What conclusions can you draw about the distribution of number of people involved in fatal accidents in Virginia in 20167