不多说，直接上代码，这是在华师大算法课上做的实验代码，C++可运行。

 

一. 代码

#include<iostream>
#include<time.h>
#include<cmath>
using namespace std;
class Random {
public:
   Random(bool pseudo = true);
   double random_real();
   int random_integer(int low, int high);
   int poisson(double mean);
   void randomByAvg(double avg,int num);
private:
   int reseed(); //  Re-randomize the seed.
   int seed,multiplier,add_on;
   //  constants for use in arithmetic operations
};
Random::Random(bool pseudo)
/*
Post: The values of seed, add_on, and multiplier are
      initialized.  The seed is initialized randomly only if pseudo == false.
*/
{
   if (pseudo) seed = 1;
   else seed = time(NULL) % INT_MAX;
   multiplier = 2743;
   add_on = 5923;
}
int Random::reseed()
/*
Post: The seed is replaced by a pseudorandom successor.
*/
{
   seed = seed * multiplier + add_on;
   return seed;
}
double Random::random_real()
/*
Post: A random real number between 0 and 1 is returned.
*/
{
   double max = INT_MAX + 1.0;  //INT_MAX = (2)31 -1
   double temp = reseed();
   if (temp < 0) temp = temp + max;
   return temp / max;
}
int Random::random_integer(int low, int high)
/*
Post: A random integer between low and high is returned.
*/
{
   if (low > high) return random_integer(high, low);
   else return ((int) ((high - low) * random_real())) + low;
}
int Random::poisson(double mean)
/*
Post: A random integer, reflecting a Poisson distribution
      with parameter mean, is returned.
*/
{
   double limit = exp(-mean);
   double product = random_real();
   int count = 0;
   while (product > limit) {
      count++;
      product *= random_real();
   }
   return count;
}

void Random::randomByAvg(double avg,int num) {
	double p = 1 - 1.0 / (avg + 1);
	int t;double sum=0,ave;
	for(int i=0;i<num;i++){
		
		t=poisson(avg);
		cout<<t<<" ";
		sum+=t;
	}
	cout<<endl;
	ave=sum/num*1.0;
	cout<<"随机整数序列的平均值为："<<ave<<endl; 
	
}

int main(){
	cout<<"请输入概率均值:"<<endl;
	double rand;
	cin>>rand;
	cout<<"请输入随机整数的个数："<<endl;
	int num;
	cin>>num;
	//产生随机序列
	Random random;int t;double sum=0;
	random.randomByAvg(rand,num);
	return 0;
} 

运行结果：