RNGCryptoServiceProvider对大型随机数进行卡方检验失败

有没有人知道为什么RNGCryptoServiceProvider在试图使数字大于300,000,000时失败进行卡方检验.

我试图得到0-1,000,000,000范围内的随机数,结果我得到了失败的卡方检验,0-300,000,000范围内的数字显得比其他数字更多.

最终我将大数字形式与较小的数字(0-99*100M + 0-99,999,999)和卡方测试通过相结合.

任何人都可以大量解释这个异常吗？

我使用以下代码来获取数字

    [Timeout(TestTimeout.Infinite), TestMethod]
    public void TestMethodStatistic()
    {
        Dictionary appearances = new Dictionary();
        UInt64 tenBillion = 10000000000;

        for (UInt64 i = 0; i < 10000000; i++)
        {
            UInt64 random = GetSIngleRandomNumberInternal() % tenBillion;
            UInt64 bucket = random /10000000;

            if (!appearances.ContainsKey(Convert.ToInt64(bucket)))
            {
                appearances.Add(Convert.ToInt64(bucket), 0);
            }
            appearances[Convert.ToInt64(bucket)]++;
        }
        string results = "\nBucket Id\tcount\n";
        foreach (var appearance in appearances)
        {
            results += appearance.Key+"\t"+ appearance.Value +"\n";
        }
        File.AppendAllText(@"C:\Result.txt",results);
    }

    private RNGCryptoServiceProvider rngCsp = new RNGCryptoServiceProvider();

    private UInt64 GetSIngleRandomNumberInternal()
    {
        byte[] randomNumBytes = new byte[sizeof(UInt64)];
        rngCsp.GetBytes(randomNumBytes);


        return BitConverter.ToUInt64(randomNumBytes, 0);
    }

获取Result.txt文件并将内容复制到excel.使它成为一个表并添加2列1是预期结果,值为100000,第二个是卡方检验,值为"= CHISQ.TEST([count],[[expected]])"

当卡方检验的值小于0.1时,我们就有问题了.