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

chen has an mp3 player called the jumble. the jumble randomly selects a song for the user to listen to. chens jumble has 4 classical songs, 3 rock songs, and 2 rap songs on it. chen is going to listen to 360 songs. what is the best prediction for the number of times chen will listen to a classical song? choose 1 answer: a exactly 90 times b close to 90 times but probably not exactly 90 times c exactly 160 times d close to 160 times but probably not exactly 160 times

chen has an mp3 player called the jumble. the jumble randomly selects a song for the user to listen to. chens jumble has 4 classical songs, 3 rock songs, and 2 rap songs on it. chen is going to listen to 360 songs. what is the best prediction for the number of times chen will listen to a classical song? choose 1 answer: a exactly 90 times b close to 90 times but probably not exactly 90 times c exactly 160 times d close to 160 times but probably not exactly 160 times

Answer

Explanation:

Step1: Calculate total number of songs

$4 + 3+2=9$

Step2: Calculate probability of classical song

The probability $P$ of selecting a classical song is $\frac{4}{9}$ since there are 4 classical songs out of 9 total songs.

Step3: Predict number of classical - song listens

Multiply the probability by the total number of songs listened to. The expected number of times to listen to a classical song is $\frac{4}{9}\times360 = 160$. Since it's a random - selection process, we expect to be close to 160 times but not exactly 160 times.

Answer:

D. Close to 160 times but probably not exactly 160 times