Need help with the last part (Number 5) on my C++ lab You are asked to verify th

Question

Need help with the last part (Number 5) on my C++ lab

You are asked to verify the rx _normal () function whether it generates Gaussian random numbers. Call the rx _normal(u, s) for n times where u and s are the desired mean and standard deviation, respectively. Calculate their sum and sum of square as sigma x and sigma x^2 and compare their real mean and standard deviation to the desired mean and standard deviation. E[X] = sigma x/n E[X^2] = sigma x^2/n sigma = squareroot E[X^2] - (E [X])^2 Verify the ratio of samples within mu plusminus sigma, mu plusminus 3 sigma ranges based on the statistics from the wikipedia (https en.Wikipedia.org/wiki/Normal distribution).

Explanation / Answer

#include <math.h>

#include <stdlib.h>

double rx_normal (double µ, double )

{

  double U1, U2, W, mult;

  static double X1, X2;

  static int n = 0;

  if (n == 1)

    {

      n = !n;

      return (µ + * (double) X2);

    }

  do

    {

      U1 = -1 + ((double) rx_normal () / RAND_MAX) * 2;

      U2 = -1 + ((double) rx_normal () / RAND_MAX) * 2;

      W = pow (U1, 2) + pow (U2, 2);

    }

  while (W >= 1 || W == 0);

  mult = sqrt ((-2 * log (W)) / W);

  X1 = U1 * mult;

  X2 = U2 * mult;

  n = !n;

  return (µ + * (double) X1);

}

int calculate(int n)

{

float x [50];             /* max. 50 elements in array x */

int n;                    /*number of elements in array x */

float sum, µ, ;           /* sum, mean and standard deviation.*/

int i;

clrscr();

for(i = 0; i<n; i++)

scanf("%f", &x[i]);

           /* calculate mean */

           sum= 0.0;

            for(i = 0; i < n; i++)

           sum+= x[i];

          µ = sum / n;

      /* calculate standard deviation */

           sum= 0.0;

            for(i = 0; i < n; i++)

           sum+= (x[i] - µ) * (x[i] - µ);

           = sqrt(sum / n);

           printf("Mean = %6.3f ", µ);

           printf("Standard Deviation: %6.3f ", );

           getch();

}

Void main()

{

int result = rx_normal(u,s);

int cal = calculate(result);

if(result==calculate)

printf(“verified”);

else

printf(“Not verified”);

}

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