array of objects : NullReferenceException

Question

Greetings, 

could you enlighten me what may cause a NullReferenceException in the code below?  I tried to create an array of my own ("student") class, but in vain it seems...

 using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;

namespace ConsoleApplication1
{
    public class student
    {
        public string name;
        public byte note;
    }

    class Program
    {
        static void Main(string[] args)
        {
            student[] students = new student[5];

            Random rnd = new Random();
            for (int i = 0; i < students.Length; i++)
            {
                students[i].note = (byte)rnd.Next(1, 6);
                students[i].name = "aaa";
            }
        }
    }
}

Thanx if you have a cure.