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Question
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 ran mix. the results are displayed in the table below. what is a good prediction for the number of rock songs mr. mcelro 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
Step1: Calculate total sample 1 songs
$5 + 4 + 3 + 2 + 6 = 20$
Step2: Calculate total sample 2 songs
$3 + 3 + 5 + 4 + 5 = 20$
Step3: Total rock songs in samples
$6 + 5 = 11$
Step4: Total songs in both samples
$20 + 20 = 40$
Step5: Find rock song proportion
$\frac{11}{40} = 0.275$
Step6: Predict total rock songs
$2000 \times 0.275 = 550$
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B. 550