Homework #4

Due: February 19, 2025

1. Throw a die 10, 1,000 and 10,000 times and compute the average and the standard deviation.

Hint:


#include <stdio.h>
#include <stdlib.h>
#include <time.h>
#include <math.h>
#define N 10000
int main()
{
  int i,a[N];
  float sum=0, avg, std;
  srand(time(NULL));

  for (i=0;i<N;i++) a[i]=....;

  for (i=0;i<N;i++) sum+= ....;

  ...................;
  return 0;
}

Refer to Lecture Note 6 for computation of average and standard deviation.

2. Using the Monte Carlo method, estimate the volume of the unit sphere,

x² + y² + z² ≤ 1.

Try N=100000.

File translated from T_EX by T_TH, version 4.03.
On 11 Feb 2025, 15:32.