Question

Chen has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Chen's Jumble has 444 classical songs, 333 rock songs, and 222 rap songs on it. Chen is going to listen to 360 songs.

What is the best prediction for the number of classical songs that Chen will listen to?

Answer 1

To predict the number of classical songs Chen will listen to, divide the number of classical songs by the total number of songs on the Jumble MP3 player, then multiply the proportion by the total number of songs in Chen's playlist.

Step-by-step explanation:

To predict the number of classical songs Chen will listen to, we need to determine the proportion of classical songs in the total song collection. The total number of songs on Chen's Jumble MP3 player is 999 (444 classical + 333 rock + 222 rap). To find the proportion of classical songs, we divide the number of classical songs by the total number of songs: 444/999 ≈ 0.445.

To predict the number of classical songs within Chen's 360-song playlist, we multiply the proportion of classical songs by the total number of songs in the playlist: 0.445 * 360 ≈ 160.2. Since we can't have a fraction of a song, the best prediction for the number of classical songs Chen will listen to is 160.