mekala has an mp3 player called the jumble. the jumble randomly selects a song for the user to listen to…

mekala has an mp3 player called the jumble. the jumble randomly selects a song for the user to listen to. mekalas 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 mp3 player called the jumble. the jumble randomly selects a song for the user to listen to. mekalas 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

Answer

Explanation:

Step1: Calculate total number of songs

$4 + 2+3=9$

Step2: Calculate probability of a country - song

The probability $P$ of selecting a country song is $\frac{2}{9}$ since there are 2 country songs out of 9 total songs.

Step3: Predict number of country - songs

If Mekala listens to $n = 270$ songs, the expected number of country songs $E$ is $E=P\times n=\frac{2}{9}\times270 = 60$. But since the selection is random, she will be close to 60 country songs but probably not exactly 60.

Answer:

B. Close to 60 country songs but probably not exactly 60 country songs