Sum (x) Frequency of sum: Relative Frequency P(x) 2 4 4/50=2/25 3 0 0/50 4 9 9/50 5 4 4/50=2/25 6 6 6/50=3/25 7 10 10/50=1/5 8 8 8/50=4/25 9 3 3/50 10 3 3/50 11 1 1/50 12 2 2/50=1/25 7) (1 points) Use the empirical data to calculate the mean, variance, and standard deviation of this probability distribution. Show all work. 8) (1 point) Use your results to calculate the empirical probability of rolling a sum less than 4. 9) (1 point) Use your results to calculate the empirical probability of rolling a sum between (and including) 3 and 7. 10) (2 points) Compare the results from question 1 to the results from question 7. Do you feel the results are similar? Why or why not? What could be done to make the empirical results even more closely resemble the theoretical