1. Answer 2015

2. 

public class Question2 {
	public static boolean isIncreasing(int[] a) {
		for (int i = 0; i < a.length-1; i++) {
			if (a[i+1] < a[i])
				return false;
		}

		return true;
	}

	public static void main(String[] args) {
		int[] a = new int[args.length];
		for (int i = 0; i < args.length; i++) {
			a[i] = Integer.parseInt(args[i]);
		}
		System.out.println(isIncreasing(a));
	}
}

3.

public class DiceStats {
	int[] rolls;
	
	public DiceStats() {
		rolls = new int[6];
	}
	
	public void addRoll(int roll) {
		rolls[roll-1]++;
	}
	
	public double[] getFrequences() {
		int sum = 0;
		for (int roll : rolls)
			sum += roll;
		double[] freqs = new double[rolls.length];
		for (int i = 0; i < rolls.length; i++) {
			freqs[i] = ((double) rolls[i]) / ((double) sum);
		}
		return freqs;
	}

	public boolean isFair(double epsilon) {
		double prob = 1.0/6.0;
		for (double freq : getFrequences()) {
			if (freq < prob-epsilon || freq > prob+epsilon)
				return false;
		}
		return true;
	}

	public static void main(String[] args) {
		int n = Integer.parseInt(args[0]);
		double eps = Double.parseDouble(args[1]);
		DiceStats stats = new DiceStats();
		for (int i = 0; i < n; i++) {
			int roll = (int) (1 + Math.random()*6);
			stats.addRoll(roll);
		}
		
		double[] freqs = stats.getFrequences();
		for (int i = 0; i < freqs.length; i++) {
			System.out.println(freqs[i]);
		}
		System.out.println(stats.isFair(eps));
	}
}

4.

public static void smooth(double[] values) {
	if (values.length < 2)
		return;

	double last = values[0];
	values[0] = (values[0] + values[1]) / 2;
	
	for (int i = 1; i < values.length-1; i++) {
		double tmp= values[i];
		values[i] = (last + values[i] + values[i+1]) / 3;
		last      = tmp;
	}
	
	values[values.length-1] = (last + values[values.length-1]) / 2;
}

5.

public static List getNumbers(File phonebook, String name) throws FileNotFoundException {
	List numbers = new ArrayList();
	Scanner scanner = new Scanner(phonebook);
	while (scanner.hasNext()) {
		String name1  = scanner.next();
		String number = scanner.next();
		if (name.equals(name1))
			numbers.add(number);
	}
	return numbers;
}