一道练习题

xiaoxiao2021-02-28  10

题目 :小明向他的女朋友仙仙求婚,在求婚戒指上刻了一个大大的爱心。仙仙看到爱心想考验一下小明,出了一道题。方程 (x2+y21)2x2y2=0 能画出一个美丽的爱心,现在给定一个点 (x,y) ,其中, XN((μ1,σ21) YN((μ2,σ22)

,这个点在这个爱心里面的概率是多少,精确到0.1(小数点后保留一位小数,比如0.1, 0.2等)

import java.util.*; public class main { public static double genGaussValue(double mu, double sigma) { double random = new Random().nextGaussian(); return random * sigma + mu; } public static boolean isInside(double x, double y) { double xx = x * x; double yy = y * y; double tmp = xx + yy - 1; return (tmp * tmp - xx * yy) < 0 ? true : false; } public static double learnCurve(double mu1, double sigma1, double mu2, double sigma2) { int N = 10000; int count = 0; for (int i = 0; i < N; i++) { double v1 = genGaussValue(mu1, sigma1); double v2 = genGaussValue(mu2, sigma2); if (isInside(v1, v2)) { count++; } } return count * 1.0 / N; } public static void main(String[] args) { Scanner sc = new Scanner(System.in); double mu1 = sc.nextDouble(); double sigma1 = sc.nextDouble(); double mu2 = sc.nextDouble(); double sigma2 = sc.nextDouble(); double res = learnCurve(mu1, sigma1, mu2, sigma2); System.out.printf("%.1f", res); } }

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