Mr. McElroy enjoys listening to his MP3 player, which has 2,000 songs in five different genres of music. He took a sample of the number of each type of song it played on two different one-hour sessions when it was set to play a random mix. The results are displayed in the table below. What is a good prediction for the number of rock songs Mr. McElroy has on his MP3 player? Listening Samples from Mr. McElroy’s MP3 Player
Sample 1
Sample 2
Country
5
Country
3
Pop
4
Pop
3
Classical
3
Classical
5
Jazz
2
Jazz
4
Rock
6
Rock
5
225
550
1100
1667

(A) 6/20 = x/2000

Step-by-step explanation:

To complete your questions, the missing parts are shown below

                   Sample 1                  Sample 2        total

Country            5                               3                 8  

Pop                  4                                3                 7

Classical          3                                5                 8

Jazz                 2                                4                  6

Rock                6                                5                11

Total                20                               20             40

The proportion that would predict the number of jazz songs that Mr. McElroy has stored on his MP3 player is given by 6/20

Hence, our required proportion would be

6/20 =x/2000

We cross multiply  

20x = 2000 x 6

20x = 12000

Divide both sides by 20

X = 12000/20

X = 600

Hence, our required proportion would be

6/20 = x/2000