Song class is artist, title, category, and tempo. Can I generate 3 random song titles based on categories?

This is my first java project. I created a Set list Generator for my church's youth group. It writes to a .dat file and reads from it. The flow is 3 songs. Fast, Medium/Slow, or slow. I have made a song class with the following properties: Artist, Title, Tempo, Category.

My goal is to click a button where a JOptionpane pops up and generates a 3 random song set list from our database like the following: Song 1: show song with fast category Song 2: show song with medium or slow category song 3: show song with slow category

I am stuck at this point and need some help on how to achieve that. I got as far as populating an array from the songs.dat file but i am unsure how to generate a song with specified category. This is the last step in my personal project.

 public Menu() {
    initComponents();
    songs = new ArrayList<Song>();
    populateArrayList();

    String [] songsArray = new String[songs.size()];

    for (int i = 0 ; i < songs.size() ; i++)
    {
        songsArray[i] = songs.get(i).getTitle();
        songsArray[i] = songs.get(i).getCategory();

    }
}

public void populateArrayList()
{
  try
  {
      FileInputStream file = new FileInputStream("Songs.dat");
      ObjectInputStream inputFile = new ObjectInputStream(file);

      boolean endOfFile = false;

      while (!endOfFile)
      {
          try
          {
              songs.add((Song) inputFile.readObject());
          }
          catch (EOFException e)
          {
              endOfFile = true;
          }
          catch (Exception f)
          {
             JOptionPane.showMessageDialog(null, f.getMessage()); 
          }
      }

      inputFile.close();

  }
  catch (IOException e)
  {
     JOptionPane.showMessageDialog(null, e.getMessage());
  }    
}