The following code computes the exact probability distribution for the sum of two dice: int SIDES = 6; double[] dist = new double[2*SIDES+1]; for (int i = 1; i <= SIDES; i++)  for (int j = 1; j <= SIDES; j++)  dist[i+j] += 1.0; for (int k = 2; k <= 2*SIDES; k++)  dist[k] /= 36.0; The value dist[i] is the probability that the dice sum to k. Run experiments to validate this calculation simulating N dice throws, keeping track of the frequencies of occurrence of each value when you compute the sum of two random integers between 1 and 6. How large does N have to be before your empirical results match the exact results to three decimal places?

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