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public class Solution { public static void main(String[] args) { double mean = 70; double stdDeviation = 10; double x1 = 80, x2 = 60; double result1 = 1 - probability(mean, stdDeviation, x1); double result3 = probability(mean, stdDeviation, x2); double result2 = 1 - result3; System.out.println(round(result1*100)); System.out.println(round(result2*100)); System.out.println(round(result3*100)); } public static double probability(double mean, double stdDeviation, double x) { final double z = calcZ(mean, stdDeviation, x); return 1 - (1 + erf(z)) / 2; } public static double calcZ(double mean, double stdDeviation, double x) { return (mean - x) / (stdDeviation * Math.sqrt(2)); } public static double erf(double z) { double sum = 0; for (int n = 0; n < 11; n++) { double sfsfsf = z / (2 * n + 1); for (int i = 1; i <= n; i++) sfsfsf *= -z * z / i; sum += sfsfsf; } return 2 / Math.sqrt(Math.PI) * sum; } static double round(double v) { return Math.round(v * 100)*1d/100; } }
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Day 5: Normal Distribution II
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