3a) In the previous examples, two fair six-sided dice were tossed simultaneously, and the sum of the two faces facing upward was recorded. Perform the experiment 36 times, either using real dice or a simulator. Then determine what the empirical probability distribution is using the following table.

Sum	2	3	4	5	6	7	8	9	10	11	12
Outcome(s)
Probability

b) Find the probability that the sum is 5.

c) Find the probability that the sum is 7 or 10.

d) Find the probability that the sum is between 8 and 11.

e) Do the probabilities found using the empirical distribution match those found using the theoretical distribution? Why or why not? If not, then what could you do to get them to match up better?