The Germans created flying rocket bombs in the final stages of World War II. These explosives were used in the London assault. Allied military intelligence had no way of knowing whether these bombs were shot at random or had a sophisticated targeting system. They utilized the Poisson distribution to figure out the answer. To assess the accuracy of these bombs, London was divided into 576 square regions. Each region was 1/4 square kilometer in area. They then compared the number of actual hits with the theoretical number of hits by using the Poisson distribution. If the values in both distributions were close, then they would conclude that the rockets were fired at random. The actual distribution is as follows: Hits 0 1 2 wo 4 5 Regions 229 211 93 35 A A) Give the probability function for the random number X= hits per region, then use this function to find the theoretical values for the each of number of hits =0,1,2..5 Summarize your answers as a table similar to the table above. Provide theoretical values to one decimal place. (8 pts) B) What is the probability of having 3 hits in a region of 1/4 square kilometer? (2 pts) C) Write a short descriptive statement (10-15 words) between the actual and the theoretical number of hits. (3 pts) D) Based on your answer to (C), can you conclude that the rockets bombs were fired at random across London? (2 pts)