/* Percentile : Find the percentile of x with respect to a Gaussian (normal)
 *     distribution with a given mean and standard deviation.
 *
 * Parke Godfrey  2009-Sept-29
 */
import java.io.PrintStream;
import java.util.Scanner;
import type.lib.ToolBox;

import org.apache.commons.math.MathException;
import org.apache.commons.math.distribution.NormalDistributionImpl;

public class Percentile
{
    public static void main(String[] args) throws MathException
    {
        PrintStream output = System.out;
        Scanner input = new Scanner(System.in);
        
        final double MEAN = 174.0; //Ave Canadian male height.
        final double STD_DEV = 8.4;
        
        output.print("Enter the height (cm)...");
        int height = input.nextInt();
        ToolBox.crash(height < 0, "Problem!");
        
        NormalDistributionImpl gaussian
            = new NormalDistributionImpl(MEAN, STD_DEV);
        
        double percentile = gaussian.cumulativeProbability(height);
        
        output.printf("For the height %dcm, "
                + "the percentile is %5.1f%%.%n",
                height, percentile * 100);
    }
}