Problem 3: Numbers of occurrences of various types of crime in each state are recorded in a data set contained in R. called USArrests. (a) Save a copy of the UrbanPop colunln named PopProp. (b) Determine the number of states with urban population proportion under 50%. (c) Remove the UrbanPop column and save the resulting data set with the variable name USArrestsZ Use USArrestsZ for the remaining parts. Print the rst few rows of the resulting data set. (d) Determine the total number of occurrences of each type of crime over the entire US and save them in a vector called arrests_tot. (e) Determine the average number of occurrences of each type of crime over the states with an urban population proportion that is at least 5U (f) Determine the average number of occurrences of each type of crime over the states with an urban population proportion that is less than 5U {g} "Wlmt conclusions can you draw about urban and rural states on average