在Java中实现概率分布函数

import org.apache.commons.math3.distribution.NormalDistribution;

public class ProbabilityDistribution {
    public static void main(String[] args) {
        NormalDistribution normalDistribution = new NormalDistribution(0, 1);
        double probability = normalDistribution.cumulativeProbability(1);
        System.out.println("Probability of getting 1 or less: " + probability);
    }
}

public class DiscreteProbabilityDistribution {
    public static void main(String[] args) {
        int[] values = {1, 2, 3, 4, 5};
        double[] probabilities = {0.1, 0.2, 0.3, 0.2, 0.2};
        int sum = 0;
        for (int i = 0; i< values.length; i++) {
            sum += values[i] * probabilities[i];
        }
        System.out.println("Expected value: " + sum);
    }
}

public class ContinuousProbabilityDistribution {
    public static void main(String[] args) {
        double mean = 0;
        double standardDeviation = 1;
        double x = 1;
        double probability = (1 / Math.sqrt(2 * Math.PI * standardDeviation)) * Math.exp(-(Math.pow(x - mean, 2) / (2 * Math.pow(standardDeviation, 2))));
        System.out.println("Probability of getting " + x + " or less: " + probability);
    }
}