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?
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?
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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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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