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Mekala has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Mekala's Jumble has 4 techno songs, 2 country songs, and 3 jazz songs on it. Mekala plans to listen to 270 songs. Complete the following statement with the best prediction. Mekala will listen to... Choose 1 answer: (A) Exactly 60 country songs (B) Close to 60 country songs but probably not exactly 60 country songs (C) Exactly 210 country songs (D) Close to 210 country songs but probably not exactly 210 country songs

Mekala has an MP33 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Mekala's Jumble has 44 techno songs, 22 country songs, and 33 jazz songs on it. Mekala plans to listen to 270270 songs.\newlineComplete the following statement with the best prediction.\newlineMekala will listen to...\newlineChoose 11 answer:\newline(A) Exactly 6060 country songs\newline(B) Close to 6060 country songs but probably not exactly 6060 country songs\newline(C) Exactly 210210 country songs\newline(D) Close to 210210 country songs but probably not exactly 210210 country songs

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Q. Mekala has an MP33 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Mekala's Jumble has 44 techno songs, 22 country songs, and 33 jazz songs on it. Mekala plans to listen to 270270 songs.\newlineComplete the following statement with the best prediction.\newlineMekala will listen to...\newlineChoose 11 answer:\newline(A) Exactly 6060 country songs\newline(B) Close to 6060 country songs but probably not exactly 6060 country songs\newline(C) Exactly 210210 country songs\newline(D) Close to 210210 country songs but probably not exactly 210210 country songs
  1. Determine total songs: Determine the total number of songs on the Jumble MP33 player.\newlineMekala has 44 techno songs, 22 country songs, and 33 jazz songs. To find the total, we add these numbers together.\newline44 (techno) + 22 (country) + 33 (jazz) = 99 songs in total.
  2. Calculate probability: Calculate the probability of selecting a country song.\newlineSince there are 22 country songs out of 99 total songs, the probability (P)(P) of selecting a country song is:\newlineP(country song)=Number of country songsTotal number of songsP(\text{country song}) = \frac{\text{Number of country songs}}{\text{Total number of songs}}\newlineP(country song)=29P(\text{country song}) = \frac{2}{9}
  3. Predict country songs: Predict the number of country songs Mekala will listen to out of 270270 songs.\newlineTo find the expected number of country songs Mekala will listen to, we multiply the total number of songs she plans to listen to by the probability of selecting a country song.\newlineExpected number of country songs = Total songs Mekala will listen to ×\times P(country song)P(\text{country song})\newlineExpected number of country songs = 270×(2/9)270 \times (2 / 9)
  4. Perform calculation: Perform the calculation to find the expected number of country songs.\newlineExpected number of country songs = 270×(2/9)270 \times (2 / 9)\newlineExpected number of country songs = 270×0.2222…270 \times 0.2222\ldots\newlineExpected number of country songs ≈60\approx 60
  5. Choose best prediction: Choose the best answer based on the prediction.\newlineSince the expected number of country songs is approximately 6060, and it is unlikely to be exactly 6060 due to the randomness of the selection, the best prediction is:\newline(B) Close to 6060 country songs but probably not exactly 6060 country songs.

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